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Finding the Third Proportional to 100,545.75 and 149,451.75

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Solution

The third proportional to 100,545.75 and 149,451.75 is: 222,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,545.75 : 149,451.75 = 149,451.75 : x
  2. Step 2: Convert to fraction form
    100,545.75/149,451.75 = 149,451.75/x
  3. Step 3: Cross multiply
    100,545.75x = 149,451.75 × 149,451.75
  4. Step 4: Simplify right side
    100,545.75x = 22,335,825,578.06
  5. Step 5: Solve for x
    x = 22,335,825,578.06/100,545.75
  6. Step 6: Final answer
    x = 222,145.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.