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Finding the Third Proportional to 41,538 and 90,087

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Solution

The third proportional to 41,538 and 90,087 is: 195,379.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,538 : 90,087 = 90,087 : x
  2. Step 2: Convert to fraction form
    41,538/90,087 = 90,087/x
  3. Step 3: Cross multiply
    41,538x = 90,087 × 90,087
  4. Step 4: Simplify right side
    41,538x = 8,115,667,569
  5. Step 5: Solve for x
    x = 8,115,667,569/41,538
  6. Step 6: Final answer
    x = 195,379.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.