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Finding the Third Proportional to 41,812 and 90,103

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Solution

The third proportional to 41,812 and 90,103 is: 194,167.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,812 : 90,103 = 90,103 : x
  2. Step 2: Convert to fraction form
    41,812/90,103 = 90,103/x
  3. Step 3: Cross multiply
    41,812x = 90,103 × 90,103
  4. Step 4: Simplify right side
    41,812x = 8,118,550,609
  5. Step 5: Solve for x
    x = 8,118,550,609/41,812
  6. Step 6: Final answer
    x = 194,167.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.