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Finding the Third Proportional to 87,727.50 and 189,245.25

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Solution

The third proportional to 87,727.50 and 189,245.25 is: 408,238.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,727.50 : 189,245.25 = 189,245.25 : x
  2. Step 2: Convert to fraction form
    87,727.50/189,245.25 = 189,245.25/x
  3. Step 3: Cross multiply
    87,727.50x = 189,245.25 × 189,245.25
  4. Step 4: Simplify right side
    87,727.50x = 35,813,764,647.56
  5. Step 5: Solve for x
    x = 35,813,764,647.56/87,727.50
  6. Step 6: Final answer
    x = 408,238.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.