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Finding the Third Proportional to 41,619 and 89,193

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Solution

The third proportional to 41,619 and 89,193 is: 191,148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,619 : 89,193 = 89,193 : x
  2. Step 2: Convert to fraction form
    41,619/89,193 = 89,193/x
  3. Step 3: Cross multiply
    41,619x = 89,193 × 89,193
  4. Step 4: Simplify right side
    41,619x = 7,955,391,249
  5. Step 5: Solve for x
    x = 7,955,391,249/41,619
  6. Step 6: Final answer
    x = 191,148.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.