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Finding the Third Proportional to 54,416 and 79,761

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Solution

The third proportional to 54,416 and 79,761 is: 116,910.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,416 : 79,761 = 79,761 : x
  2. Step 2: Convert to fraction form
    54,416/79,761 = 79,761/x
  3. Step 3: Cross multiply
    54,416x = 79,761 × 79,761
  4. Step 4: Simplify right side
    54,416x = 6,361,817,121
  5. Step 5: Solve for x
    x = 6,361,817,121/54,416
  6. Step 6: Final answer
    x = 116,910.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.