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Finding the Third Proportional to 57,427 and 126,170

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Solution

The third proportional to 57,427 and 126,170 is: 277,201.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,427 : 126,170 = 126,170 : x
  2. Step 2: Convert to fraction form
    57,427/126,170 = 126,170/x
  3. Step 3: Cross multiply
    57,427x = 126,170 × 126,170
  4. Step 4: Simplify right side
    57,427x = 15,918,868,900
  5. Step 5: Solve for x
    x = 15,918,868,900/57,427
  6. Step 6: Final answer
    x = 277,201.82

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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.