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Finding the Third Proportional to 87,759 and 195,230.25

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Solution

The third proportional to 87,759 and 195,230.25 is: 434,312.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,759 : 195,230.25 = 195,230.25 : x
  2. Step 2: Convert to fraction form
    87,759/195,230.25 = 195,230.25/x
  3. Step 3: Cross multiply
    87,759x = 195,230.25 × 195,230.25
  4. Step 4: Simplify right side
    87,759x = 38,114,850,515.06
  5. Step 5: Solve for x
    x = 38,114,850,515.06/87,759
  6. Step 6: Final answer
    x = 434,312.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.