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Finding the Third Proportional to 87,438 and 135,032

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Solution

The third proportional to 87,438 and 135,032 is: 208,532.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,438 : 135,032 = 135,032 : x
  2. Step 2: Convert to fraction form
    87,438/135,032 = 135,032/x
  3. Step 3: Cross multiply
    87,438x = 135,032 × 135,032
  4. Step 4: Simplify right side
    87,438x = 18,233,641,024
  5. Step 5: Solve for x
    x = 18,233,641,024/87,438
  6. Step 6: Final answer
    x = 208,532.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.