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Finding the Third Proportional to 57,538 and 126,452

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Solution

The third proportional to 57,538 and 126,452 is: 277,905.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,538 : 126,452 = 126,452 : x
  2. Step 2: Convert to fraction form
    57,538/126,452 = 126,452/x
  3. Step 3: Cross multiply
    57,538x = 126,452 × 126,452
  4. Step 4: Simplify right side
    57,538x = 15,990,108,304
  5. Step 5: Solve for x
    x = 15,990,108,304/57,538
  6. Step 6: Final answer
    x = 277,905.18

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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.