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Finding the Third Proportional to 57,741 and 125,931

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Solution

The third proportional to 57,741 and 125,931 is: 274,650.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,741 : 125,931 = 125,931 : x
  2. Step 2: Convert to fraction form
    57,741/125,931 = 125,931/x
  3. Step 3: Cross multiply
    57,741x = 125,931 × 125,931
  4. Step 4: Simplify right side
    57,741x = 15,858,616,761
  5. Step 5: Solve for x
    x = 15,858,616,761/57,741
  6. Step 6: Final answer
    x = 274,650.89

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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.