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Finding the Third Proportional to 40,115 and 60,087

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Solution

The third proportional to 40,115 and 60,087 is: 90,002.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,115 : 60,087 = 60,087 : x
  2. Step 2: Convert to fraction form
    40,115/60,087 = 60,087/x
  3. Step 3: Cross multiply
    40,115x = 60,087 × 60,087
  4. Step 4: Simplify right side
    40,115x = 3,610,447,569
  5. Step 5: Solve for x
    x = 3,610,447,569/40,115
  6. Step 6: Final answer
    x = 90,002.43

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