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Finding the Third Proportional to 87,617.25 and 137,265.75

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Solution

The third proportional to 87,617.25 and 137,265.75 is: 215,047.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,617.25 : 137,265.75 = 137,265.75 : x
  2. Step 2: Convert to fraction form
    87,617.25/137,265.75 = 137,265.75/x
  3. Step 3: Cross multiply
    87,617.25x = 137,265.75 × 137,265.75
  4. Step 4: Simplify right side
    87,617.25x = 18,841,886,123.06
  5. Step 5: Solve for x
    x = 18,841,886,123.06/87,617.25
  6. Step 6: Final answer
    x = 215,047.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.