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Finding the Third Proportional to 57,676 and 125,144

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Solution

The third proportional to 57,676 and 125,144 is: 271,534.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,676 : 125,144 = 125,144 : x
  2. Step 2: Convert to fraction form
    57,676/125,144 = 125,144/x
  3. Step 3: Cross multiply
    57,676x = 125,144 × 125,144
  4. Step 4: Simplify right side
    57,676x = 15,661,020,736
  5. Step 5: Solve for x
    x = 15,661,020,736/57,676
  6. Step 6: Final answer
    x = 271,534.45

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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.