AHSME 1967 Problem 36

Given a geometric progression of five terms, each a positive integer less than $100$. The sum of the five terms is $211$. If $S$ is the sum of those terms in the progression which are squares of integers, then $S$ is: $\textbf{(A)}\ 0 \textbf{(B)}\ 91 \textbf{(C)}\ 133 \textbf{(D)}\ 195 \textbf{(E)}\ 211$