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Finding the Third Proportional to 85,238 and 132,342

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Solution

The third proportional to 85,238 and 132,342 is: 205,476.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,238 : 132,342 = 132,342 : x
  2. Step 2: Convert to fraction form
    85,238/132,342 = 132,342/x
  3. Step 3: Cross multiply
    85,238x = 132,342 × 132,342
  4. Step 4: Simplify right side
    85,238x = 17,514,404,964
  5. Step 5: Solve for x
    x = 17,514,404,964/85,238
  6. Step 6: Final answer
    x = 205,476.49

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.