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Finding the Third Proportional to 87,707.25 and 192,107.25

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Solution

The third proportional to 87,707.25 and 192,107.25 is: 420,777.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,707.25 : 192,107.25 = 192,107.25 : x
  2. Step 2: Convert to fraction form
    87,707.25/192,107.25 = 192,107.25/x
  3. Step 3: Cross multiply
    87,707.25x = 192,107.25 × 192,107.25
  4. Step 4: Simplify right side
    87,707.25x = 36,905,195,502.56
  5. Step 5: Solve for x
    x = 36,905,195,502.56/87,707.25
  6. Step 6: Final answer
    x = 420,777.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.