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Finding the Third Proportional to 40,067 and 60,115

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Solution

The third proportional to 40,067 and 60,115 is: 90,194.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,067 : 60,115 = 60,115 : x
  2. Step 2: Convert to fraction form
    40,067/60,115 = 60,115/x
  3. Step 3: Cross multiply
    40,067x = 60,115 × 60,115
  4. Step 4: Simplify right side
    40,067x = 3,613,813,225
  5. Step 5: Solve for x
    x = 3,613,813,225/40,067
  6. Step 6: Final answer
    x = 90,194.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.