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Finding the Third Proportional to 73,418 and 111,665

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Solution

The third proportional to 73,418 and 111,665 is: 169,836.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,418 : 111,665 = 111,665 : x
  2. Step 2: Convert to fraction form
    73,418/111,665 = 111,665/x
  3. Step 3: Cross multiply
    73,418x = 111,665 × 111,665
  4. Step 4: Simplify right side
    73,418x = 12,469,072,225
  5. Step 5: Solve for x
    x = 12,469,072,225/73,418
  6. Step 6: Final answer
    x = 169,836.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.