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Finding the Third Proportional to 40,542 and 87,132

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Solution

The third proportional to 40,542 and 87,132 is: 187,262.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,542 : 87,132 = 87,132 : x
  2. Step 2: Convert to fraction form
    40,542/87,132 = 87,132/x
  3. Step 3: Cross multiply
    40,542x = 87,132 × 87,132
  4. Step 4: Simplify right side
    40,542x = 7,591,985,424
  5. Step 5: Solve for x
    x = 7,591,985,424/40,542
  6. Step 6: Final answer
    x = 187,262.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.