You will better off understanding from 1st principles. Reference and study from a book: Alfred’s Basic Music Library: Scales, Chords, Arpeggios and Cadence. This way you will understand better the question you phrased here. Circle of fifths and Circle of fourths is where your question lies. The answer lies if you narrow down your question as it is a technical matter in music theory. There are 12 major scales and 12 relative Minor scales to each major scale. For example C major, relative to C Major is the A Minor scale. Each major scale is made up of 2 tetrachords: C,D,E,F and G,A,B,C. 8 notes in a set of C major. This also applies for all remaining major scales. G, D, A, E, B, F#, C#, F, Bb, Eb, Ab, DB, Gb, and Cb Major.. Each time you understand this concept. C Major being 8 notes. The root is C, it is also referred to as the I chord. It is also called a Tonic from the perspective of notes by degree ( steps ). So, if your understand circle of fifths and what make up the major scales: there are 12 inclusive. Hence there are that many variation of 12 of I chords, or tonics, etc. That’s circle of Fifths (clockwise) and another 12 ( anti-clockwise ). The lowercase Roman numerals refers to the position of the notes of Minor scales. Your question what are iii/III chords used for in classic music is 12 Major scales and 12 Minor scales. The Minor scales is further broken down into Natural, Harmonic and Melodic. So this is your answer when you ask and I narrow it down to this answer. You need to learn these concepts as they are distinct and musically technical. It matters when you want a roadmap to direct your music playing. It’s hard to understand it but playing it and applying it to your piano exercises you build up your muscle memory, aural memory, and sight-reading skills. In Classic music the chord is mentioned which Major key the music it is in. You get an equivalent in relative Minor scale. They are used for referencing finger work positions of a major or Minor scale. Techniques like inversion referencing the same but Major scales is uppercase Roman numerals, lowercase for relative Minor to Major scales. You have a set of labels to name each degree position of notes. An octave. Tonic To Tonic. Then each note within an Octave is as follows: Tonic, SuperTonic, Mediant, subdominant, dominant, sub median, leading tone and Tonic. It’s is hard to remember the name set in the notes of Octaves. It is given another set of names and numbered using Roman numerals. Hence for Major scale. It is Tonic (I), supertonic (II), mediant (III), subdominant (IV), dominant (V), submedian (VI), leading note (VII) and Tonic (I). A scale is a set of musical notes. An Octave is a set of 8 notes. A Scale is an Octave. Tonic is not a scale. III chord is 3 music notes stacked one on top of the other on the Stave ledger ( music sheet ). A chord is not a scale. A chord is a reference to the scale it is within. With Major or relative Minor. You play it together, striking all 3 notes together. You an also strike it one by one within the time signature to give you arpeggios of the chord. Broken chord. For example, You can express the chord as staccato or Legato for arpeggios. This concept does not just apply to classical music. It applies to Music. Take your time to understand this grounding of music theory. It helps you to read into music. It helps you to compose, transpose, transcribe music. There are other styles of playing piano, jazz, blues, etc. The scales and chord will be your reference point. There will be more of the same but musically and technically different to apply and reference. For example scales and modes. Main modes are: Ionian(C), Aeolian(A), Dorian(D), Phrygian(E), Lydian(F) Mixolydian(G).