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Finding the Third Proportional to 87,723 and 171,011.25

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Solution

The third proportional to 87,723 and 171,011.25 is: 333,377.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,723 : 171,011.25 = 171,011.25 : x
  2. Step 2: Convert to fraction form
    87,723/171,011.25 = 171,011.25/x
  3. Step 3: Cross multiply
    87,723x = 171,011.25 × 171,011.25
  4. Step 4: Simplify right side
    87,723x = 29,244,847,626.56
  5. Step 5: Solve for x
    x = 29,244,847,626.56/87,723
  6. Step 6: Final answer
    x = 333,377.19

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.