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Finding the Third Proportional to 57,204 and 126,042

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Solution

The third proportional to 57,204 and 126,042 is: 277,718.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,204 : 126,042 = 126,042 : x
  2. Step 2: Convert to fraction form
    57,204/126,042 = 126,042/x
  3. Step 3: Cross multiply
    57,204x = 126,042 × 126,042
  4. Step 4: Simplify right side
    57,204x = 15,886,585,764
  5. Step 5: Solve for x
    x = 15,886,585,764/57,204
  6. Step 6: Final answer
    x = 277,718.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.