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Finding the Third Proportional to 57,114 and 125,613

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Solution

The third proportional to 57,114 and 125,613 is: 276,265.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,114 : 125,613 = 125,613 : x
  2. Step 2: Convert to fraction form
    57,114/125,613 = 125,613/x
  3. Step 3: Cross multiply
    57,114x = 125,613 × 125,613
  4. Step 4: Simplify right side
    57,114x = 15,778,625,769
  5. Step 5: Solve for x
    x = 15,778,625,769/57,114
  6. Step 6: Final answer
    x = 276,265.47

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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.