Let X be a Kotz Type III elliptical random vector in R(k). k >= 2, and let t(n). n >= 1 be positive constants such that lim(n ->infinity) t(n) = infinity. In this article we obtain all asymptotic expansion of P{X > t(n)a}, a is an element of R(k). As all application we derive an approximation for the conditional excess distribution and show the asymptotic dependence of Kotz Type III triangular arrays. Further. we provide some details oil the estimation of conditional excess distributions and Survivor function of Kotz Type III random vectors.