The de facto standardization of the piano keyboard occurred in the 1880s and 1890s. There was no driving force behind it - it was just something that happened.
Even today, however, pianos with a few extra keys (usually in the bass range) are being made.
One possible explanation (mine - not official) is that this specific range does provide for seven full octaves in both C major and A minor - the two scales that do not need black keys.
I would assume the limitation isn't the number of keys but the length of the keyboard for somebody to play it. Although there is a bench to slide back-and-forth, you'd still be tethered to its foot pedals.
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