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Finding the Third Proportional to 57,771 and 125,418

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Solution

The third proportional to 57,771 and 125,418 is: 272,276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,771 : 125,418 = 125,418 : x
  2. Step 2: Convert to fraction form
    57,771/125,418 = 125,418/x
  3. Step 3: Cross multiply
    57,771x = 125,418 × 125,418
  4. Step 4: Simplify right side
    57,771x = 15,729,674,724
  5. Step 5: Solve for x
    x = 15,729,674,724/57,771
  6. Step 6: Final answer
    x = 272,276.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.