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Finding the Third Proportional to 90,761 and 126,948

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Solution

The third proportional to 90,761 and 126,948 is: 177,562.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,761 : 126,948 = 126,948 : x
  2. Step 2: Convert to fraction form
    90,761/126,948 = 126,948/x
  3. Step 3: Cross multiply
    90,761x = 126,948 × 126,948
  4. Step 4: Simplify right side
    90,761x = 16,115,794,704
  5. Step 5: Solve for x
    x = 16,115,794,704/90,761
  6. Step 6: Final answer
    x = 177,562.99

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.