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Finding the Third Proportional to 71,692 and 111,234

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Solution

The third proportional to 71,692 and 111,234 is: 172,585.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,692 : 111,234 = 111,234 : x
  2. Step 2: Convert to fraction form
    71,692/111,234 = 111,234/x
  3. Step 3: Cross multiply
    71,692x = 111,234 × 111,234
  4. Step 4: Simplify right side
    71,692x = 12,373,002,756
  5. Step 5: Solve for x
    x = 12,373,002,756/71,692
  6. Step 6: Final answer
    x = 172,585.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.