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Finding the Third Proportional to 57,546 and 125,766

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Solution

The third proportional to 57,546 and 125,766 is: 274,859.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,546 : 125,766 = 125,766 : x
  2. Step 2: Convert to fraction form
    57,546/125,766 = 125,766/x
  3. Step 3: Cross multiply
    57,546x = 125,766 × 125,766
  4. Step 4: Simplify right side
    57,546x = 15,817,086,756
  5. Step 5: Solve for x
    x = 15,817,086,756/57,546
  6. Step 6: Final answer
    x = 274,859.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.