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Finding the Third Proportional to 57,660 and 126,671

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Solution

The third proportional to 57,660 and 126,671 is: 278,278.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,660 : 126,671 = 126,671 : x
  2. Step 2: Convert to fraction form
    57,660/126,671 = 126,671/x
  3. Step 3: Cross multiply
    57,660x = 126,671 × 126,671
  4. Step 4: Simplify right side
    57,660x = 16,045,542,241
  5. Step 5: Solve for x
    x = 16,045,542,241/57,660
  6. Step 6: Final answer
    x = 278,278.57

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.