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Finding the Third Proportional to 80,286.75 and 108,145.13

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Solution

The third proportional to 80,286.75 and 108,145.13 is: 145,669.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,286.75 : 108,145.13 = 108,145.13 : x
  2. Step 2: Convert to fraction form
    80,286.75/108,145.13 = 108,145.13/x
  3. Step 3: Cross multiply
    80,286.75x = 108,145.13 × 108,145.13
  4. Step 4: Simplify right side
    80,286.75x = 11,695,368,061.27
  5. Step 5: Solve for x
    x = 11,695,368,061.27/80,286.75
  6. Step 6: Final answer
    x = 145,669.96

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.