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Finding the Third Proportional to 87,634 and 137,292

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Solution

The third proportional to 87,634 and 137,292 is: 215,088.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,634 : 137,292 = 137,292 : x
  2. Step 2: Convert to fraction form
    87,634/137,292 = 137,292/x
  3. Step 3: Cross multiply
    87,634x = 137,292 × 137,292
  4. Step 4: Simplify right side
    87,634x = 18,849,093,264
  5. Step 5: Solve for x
    x = 18,849,093,264/87,634
  6. Step 6: Final answer
    x = 215,088.82

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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.