\(P\), \(Q\) and \(R\) lie on the circumference of a circle. \(T\) and \(R\) are the midpoints of \(PQ\) and \(QS\) respectively. The line \(OS\) is a tangent to the circle at \(P\).
By using similar triangles, prove that \(PS^2=QS\times RS\).[3]
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