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Finding the Third Proportional to 87,675 and 135,604.50

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Solution

The third proportional to 87,675 and 135,604.50 is: 209,735.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,675 : 135,604.50 = 135,604.50 : x
  2. Step 2: Convert to fraction form
    87,675/135,604.50 = 135,604.50/x
  3. Step 3: Cross multiply
    87,675x = 135,604.50 × 135,604.50
  4. Step 4: Simplify right side
    87,675x = 18,388,580,420.25
  5. Step 5: Solve for x
    x = 18,388,580,420.25/87,675
  6. Step 6: Final answer
    x = 209,735.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.