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Finding the Third Proportional to 57,866 and 126,811

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Solution

The third proportional to 57,866 and 126,811 is: 277,901.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,866 : 126,811 = 126,811 : x
  2. Step 2: Convert to fraction form
    57,866/126,811 = 126,811/x
  3. Step 3: Cross multiply
    57,866x = 126,811 × 126,811
  4. Step 4: Simplify right side
    57,866x = 16,081,029,721
  5. Step 5: Solve for x
    x = 16,081,029,721/57,866
  6. Step 6: Final answer
    x = 277,901.18

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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.