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This paper presents a three-stage state estimation methodology based on the sequential solution of two weighted least squares (WLS) linear problems with a nonlinear explicit transformation in between. This requires that appropriate sets of auxiliary variables be introduced so that the resulting measurement models become linear. Simulation results show that the proposed approach yields, in a non-iterative manner, virtually the same solution as that provided by the Gauss-Newton iterative scheme arising in the conventional WLS method.