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Finding the Third Proportional to 87,337 and 123,607

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Solution

The third proportional to 87,337 and 123,607 is: 174,939.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,337 : 123,607 = 123,607 : x
  2. Step 2: Convert to fraction form
    87,337/123,607 = 123,607/x
  3. Step 3: Cross multiply
    87,337x = 123,607 × 123,607
  4. Step 4: Simplify right side
    87,337x = 15,278,690,449
  5. Step 5: Solve for x
    x = 15,278,690,449/87,337
  6. Step 6: Final answer
    x = 174,939.49

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.