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Finding the Third Proportional to 58,446 and 126,234

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Solution

The third proportional to 58,446 and 126,234 is: 272,645.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,446 : 126,234 = 126,234 : x
  2. Step 2: Convert to fraction form
    58,446/126,234 = 126,234/x
  3. Step 3: Cross multiply
    58,446x = 126,234 × 126,234
  4. Step 4: Simplify right side
    58,446x = 15,935,022,756
  5. Step 5: Solve for x
    x = 15,935,022,756/58,446
  6. Step 6: Final answer
    x = 272,645.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.