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Finding the Third Proportional to 41,494 and 89,975

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Solution

The third proportional to 41,494 and 89,975 is: 195,100.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,494 : 89,975 = 89,975 : x
  2. Step 2: Convert to fraction form
    41,494/89,975 = 89,975/x
  3. Step 3: Cross multiply
    41,494x = 89,975 × 89,975
  4. Step 4: Simplify right side
    41,494x = 8,095,500,625
  5. Step 5: Solve for x
    x = 8,095,500,625/41,494
  6. Step 6: Final answer
    x = 195,100.51

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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.