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Finding the Third Proportional to 41,676 and 90,464

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Solution

The third proportional to 41,676 and 90,464 is: 196,365.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,676 : 90,464 = 90,464 : x
  2. Step 2: Convert to fraction form
    41,676/90,464 = 90,464/x
  3. Step 3: Cross multiply
    41,676x = 90,464 × 90,464
  4. Step 4: Simplify right side
    41,676x = 8,183,735,296
  5. Step 5: Solve for x
    x = 8,183,735,296/41,676
  6. Step 6: Final answer
    x = 196,365.66

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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.