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Finding the Third Proportional to 57,710 and 126,748

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Solution

The third proportional to 57,710 and 126,748 is: 278,375.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,710 : 126,748 = 126,748 : x
  2. Step 2: Convert to fraction form
    57,710/126,748 = 126,748/x
  3. Step 3: Cross multiply
    57,710x = 126,748 × 126,748
  4. Step 4: Simplify right side
    57,710x = 16,065,055,504
  5. Step 5: Solve for x
    x = 16,065,055,504/57,710
  6. Step 6: Final answer
    x = 278,375.59

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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.