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Finding the Third Proportional to 71,234 and 110,739

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Solution

The third proportional to 71,234 and 110,739 is: 172,152.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,234 : 110,739 = 110,739 : x
  2. Step 2: Convert to fraction form
    71,234/110,739 = 110,739/x
  3. Step 3: Cross multiply
    71,234x = 110,739 × 110,739
  4. Step 4: Simplify right side
    71,234x = 12,263,126,121
  5. Step 5: Solve for x
    x = 12,263,126,121/71,234
  6. Step 6: Final answer
    x = 172,152.71

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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.