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Finding the Third Proportional to 87,662.25 and 190,086.75

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Solution

The third proportional to 87,662.25 and 190,086.75 is: 412,183.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,662.25 : 190,086.75 = 190,086.75 : x
  2. Step 2: Convert to fraction form
    87,662.25/190,086.75 = 190,086.75/x
  3. Step 3: Cross multiply
    87,662.25x = 190,086.75 × 190,086.75
  4. Step 4: Simplify right side
    87,662.25x = 36,132,972,525.56
  5. Step 5: Solve for x
    x = 36,132,972,525.56/87,662.25
  6. Step 6: Final answer
    x = 412,183.95

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Why These Related Problems?

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