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Finding the Third Proportional to 81,091.38 and 129,132.06

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Solution

The third proportional to 81,091.38 and 129,132.06 is: 205,633.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,091.38 : 129,132.06 = 129,132.06 : x
  2. Step 2: Convert to fraction form
    81,091.38/129,132.06 = 129,132.06/x
  3. Step 3: Cross multiply
    81,091.38x = 129,132.06 × 129,132.06
  4. Step 4: Simplify right side
    81,091.38x = 16,675,089,565.50
  5. Step 5: Solve for x
    x = 16,675,089,565.50/81,091.38
  6. Step 6: Final answer
    x = 205,633.33

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.