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Finding the Third Proportional to 86,761.69 and 129,426.19

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Solution

The third proportional to 86,761.69 and 129,426.19 is: 193,070.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,761.69 : 129,426.19 = 129,426.19 : x
  2. Step 2: Convert to fraction form
    86,761.69/129,426.19 = 129,426.19/x
  3. Step 3: Cross multiply
    86,761.69x = 129,426.19 × 129,426.19
  4. Step 4: Simplify right side
    86,761.69x = 16,751,138,010.79
  5. Step 5: Solve for x
    x = 16,751,138,010.79/86,761.69
  6. Step 6: Final answer
    x = 193,070.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.