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Finding the Third Proportional to 57,667 and 125,769

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Solution

The third proportional to 57,667 and 125,769 is: 274,296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,667 : 125,769 = 125,769 : x
  2. Step 2: Convert to fraction form
    57,667/125,769 = 125,769/x
  3. Step 3: Cross multiply
    57,667x = 125,769 × 125,769
  4. Step 4: Simplify right side
    57,667x = 15,817,841,361
  5. Step 5: Solve for x
    x = 15,817,841,361/57,667
  6. Step 6: Final answer
    x = 274,296.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.