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Finding the Third Proportional to 57,791 and 126,598

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Solution

The third proportional to 57,791 and 126,598 is: 277,327.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,791 : 126,598 = 126,598 : x
  2. Step 2: Convert to fraction form
    57,791/126,598 = 126,598/x
  3. Step 3: Cross multiply
    57,791x = 126,598 × 126,598
  4. Step 4: Simplify right side
    57,791x = 16,027,053,604
  5. Step 5: Solve for x
    x = 16,027,053,604/57,791
  6. Step 6: Final answer
    x = 277,327.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.