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Finding the Third Proportional to 57,292 and 125,882

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Solution

The third proportional to 57,292 and 125,882 is: 276,587.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,292 : 125,882 = 125,882 : x
  2. Step 2: Convert to fraction form
    57,292/125,882 = 125,882/x
  3. Step 3: Cross multiply
    57,292x = 125,882 × 125,882
  4. Step 4: Simplify right side
    57,292x = 15,846,277,924
  5. Step 5: Solve for x
    x = 15,846,277,924/57,292
  6. Step 6: Final answer
    x = 276,587.97

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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.