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Finding the Third Proportional to 102,880.13 and 136,545.75

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Solution

The third proportional to 102,880.13 and 136,545.75 is: 181,227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,880.13 : 136,545.75 = 136,545.75 : x
  2. Step 2: Convert to fraction form
    102,880.13/136,545.75 = 136,545.75/x
  3. Step 3: Cross multiply
    102,880.13x = 136,545.75 × 136,545.75
  4. Step 4: Simplify right side
    102,880.13x = 18,644,741,843.06
  5. Step 5: Solve for x
    x = 18,644,741,843.06/102,880.13
  6. Step 6: Final answer
    x = 181,227.83

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.