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Finding the Third Proportional to 87,703 and 125,396

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Solution

The third proportional to 87,703 and 125,396 is: 179,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,703 : 125,396 = 125,396 : x
  2. Step 2: Convert to fraction form
    87,703/125,396 = 125,396/x
  3. Step 3: Cross multiply
    87,703x = 125,396 × 125,396
  4. Step 4: Simplify right side
    87,703x = 15,724,156,816
  5. Step 5: Solve for x
    x = 15,724,156,816/87,703
  6. Step 6: Final answer
    x = 179,288.70

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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.