I think that, by "Pascal term", you mean what I would call a "binomial coefficient; the numbers in Pascal's triangle,
so your equation is 42a= 14b= 42c. That is two independent equations (42a= 14b and 42a= 42c; they imply 42a= 42c but this is not independent.) Those reduce to 3a= b and a= c. Unless you have additional information you have not told us there are an infinite collection of solutions. Choose any number for a. Then b= 3a and c= a. For example, if you arbitrarily choose a= 3, b= 9 and c= 3 satisfy the equations. If you choose a= 4.3, b= 12.9 and c= 4.3 also satisfy the equations.