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Finding the Third Proportional to 41,593 and 90,193

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Solution

The third proportional to 41,593 and 90,193 is: 195,580.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,593 : 90,193 = 90,193 : x
  2. Step 2: Convert to fraction form
    41,593/90,193 = 90,193/x
  3. Step 3: Cross multiply
    41,593x = 90,193 × 90,193
  4. Step 4: Simplify right side
    41,593x = 8,134,777,249
  5. Step 5: Solve for x
    x = 8,134,777,249/41,593
  6. Step 6: Final answer
    x = 195,580.44

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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.