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Finding the Third Proportional to 36,175.50 and 87,144.75

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Solution

The third proportional to 36,175.50 and 87,144.75 is: 209,926.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,175.50 : 87,144.75 = 87,144.75 : x
  2. Step 2: Convert to fraction form
    36,175.50/87,144.75 = 87,144.75/x
  3. Step 3: Cross multiply
    36,175.50x = 87,144.75 × 87,144.75
  4. Step 4: Simplify right side
    36,175.50x = 7,594,207,452.56
  5. Step 5: Solve for x
    x = 7,594,207,452.56/36,175.50
  6. Step 6: Final answer
    x = 209,926.81

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.