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Finding the Third Proportional to 41,450 and 90,234

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Solution

The third proportional to 41,450 and 90,234 is: 196,433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,450 : 90,234 = 90,234 : x
  2. Step 2: Convert to fraction form
    41,450/90,234 = 90,234/x
  3. Step 3: Cross multiply
    41,450x = 90,234 × 90,234
  4. Step 4: Simplify right side
    41,450x = 8,142,174,756
  5. Step 5: Solve for x
    x = 8,142,174,756/41,450
  6. Step 6: Final answer
    x = 196,433.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.