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Finding the Third Proportional to 57,279 and 125,853

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Solution

The third proportional to 57,279 and 125,853 is: 276,523.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,279 : 125,853 = 125,853 : x
  2. Step 2: Convert to fraction form
    57,279/125,853 = 125,853/x
  3. Step 3: Cross multiply
    57,279x = 125,853 × 125,853
  4. Step 4: Simplify right side
    57,279x = 15,838,977,609
  5. Step 5: Solve for x
    x = 15,838,977,609/57,279
  6. Step 6: Final answer
    x = 276,523.29

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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.