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Finding the Third Proportional to 87,734 and 125,040

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Solution

The third proportional to 87,734 and 125,040 is: 178,209.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,734 : 125,040 = 125,040 : x
  2. Step 2: Convert to fraction form
    87,734/125,040 = 125,040/x
  3. Step 3: Cross multiply
    87,734x = 125,040 × 125,040
  4. Step 4: Simplify right side
    87,734x = 15,635,001,600
  5. Step 5: Solve for x
    x = 15,635,001,600/87,734
  6. Step 6: Final answer
    x = 178,209.15

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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.