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Finding the Third Proportional to 87,701 and 125,393

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Solution

The third proportional to 87,701 and 125,393 is: 179,284.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,701 : 125,393 = 125,393 : x
  2. Step 2: Convert to fraction form
    87,701/125,393 = 125,393/x
  3. Step 3: Cross multiply
    87,701x = 125,393 × 125,393
  4. Step 4: Simplify right side
    87,701x = 15,723,404,449
  5. Step 5: Solve for x
    x = 15,723,404,449/87,701
  6. Step 6: Final answer
    x = 179,284.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.