Fractions, Floors, Arithmetic and Geometric Series!

$$a, b,$$ and $$c$$ are distinct positive integers less than 100.

How many ordered triples $$(a, b, c)$$ satisfy the following 2 conditions?

a) $$\left \lfloor \dfrac{a}{b} \right \rfloor, \left \lfloor \dfrac{b}{c} \right \rfloor, \left \lfloor \dfrac{c}{a} \right \rfloor$$ are in an arithmetic progression in that order.

b) $$\left \lceil \dfrac{a}{b} \right \rceil, \left \lceil \dfrac{b}{c} \right \rceil, \left \lceil \dfrac{c}{a} \right \rceil$$ are in a geometric progression in that order.

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