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Finding the Third Proportional to 87,162.75 and 188,993.25

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Solution

The third proportional to 87,162.75 and 188,993.25 is: 409,790.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,162.75 : 188,993.25 = 188,993.25 : x
  2. Step 2: Convert to fraction form
    87,162.75/188,993.25 = 188,993.25/x
  3. Step 3: Cross multiply
    87,162.75x = 188,993.25 × 188,993.25
  4. Step 4: Simplify right side
    87,162.75x = 35,718,448,545.56
  5. Step 5: Solve for x
    x = 35,718,448,545.56/87,162.75
  6. Step 6: Final answer
    x = 409,790.29

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.