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Finding the Third Proportional to 83,019.09 and 124,545.09

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Solution

The third proportional to 83,019.09 and 124,545.09 is: 186,842.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,019.09 : 124,545.09 = 124,545.09 : x
  2. Step 2: Convert to fraction form
    83,019.09/124,545.09 = 124,545.09/x
  3. Step 3: Cross multiply
    83,019.09x = 124,545.09 × 124,545.09
  4. Step 4: Simplify right side
    83,019.09x = 15,511,480,377.20
  5. Step 5: Solve for x
    x = 15,511,480,377.20/83,019.09
  6. Step 6: Final answer
    x = 186,842.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.