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Finding the Third Proportional to 48,542 and 72,741

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Solution

The third proportional to 48,542 and 72,741 is: 109,003.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,542 : 72,741 = 72,741 : x
  2. Step 2: Convert to fraction form
    48,542/72,741 = 72,741/x
  3. Step 3: Cross multiply
    48,542x = 72,741 × 72,741
  4. Step 4: Simplify right side
    48,542x = 5,291,253,081
  5. Step 5: Solve for x
    x = 5,291,253,081/48,542
  6. Step 6: Final answer
    x = 109,003.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.