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Finding the Third Proportional to 87,741 and 191,934

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Solution

The third proportional to 87,741 and 191,934 is: 419,856.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,741 : 191,934 = 191,934 : x
  2. Step 2: Convert to fraction form
    87,741/191,934 = 191,934/x
  3. Step 3: Cross multiply
    87,741x = 191,934 × 191,934
  4. Step 4: Simplify right side
    87,741x = 36,838,660,356
  5. Step 5: Solve for x
    x = 36,838,660,356/87,741
  6. Step 6: Final answer
    x = 419,856.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.