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Finding the Third Proportional to 57,799 and 126,182

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Solution

The third proportional to 57,799 and 126,182 is: 275,470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,799 : 126,182 = 126,182 : x
  2. Step 2: Convert to fraction form
    57,799/126,182 = 126,182/x
  3. Step 3: Cross multiply
    57,799x = 126,182 × 126,182
  4. Step 4: Simplify right side
    57,799x = 15,921,897,124
  5. Step 5: Solve for x
    x = 15,921,897,124/57,799
  6. Step 6: Final answer
    x = 275,470.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.