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Finding the Third Proportional to 80,084.25 and 129,015

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Solution

The third proportional to 80,084.25 and 129,015 is: 207,841.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,084.25 : 129,015 = 129,015 : x
  2. Step 2: Convert to fraction form
    80,084.25/129,015 = 129,015/x
  3. Step 3: Cross multiply
    80,084.25x = 129,015 × 129,015
  4. Step 4: Simplify right side
    80,084.25x = 16,644,870,225
  5. Step 5: Solve for x
    x = 16,644,870,225/80,084.25
  6. Step 6: Final answer
    x = 207,841.99

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.