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Finding the Third Proportional to 41,942 and 91,266

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Solution

The third proportional to 41,942 and 91,266 is: 198,595.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,942 : 91,266 = 91,266 : x
  2. Step 2: Convert to fraction form
    41,942/91,266 = 91,266/x
  3. Step 3: Cross multiply
    41,942x = 91,266 × 91,266
  4. Step 4: Simplify right side
    41,942x = 8,329,482,756
  5. Step 5: Solve for x
    x = 8,329,482,756/41,942
  6. Step 6: Final answer
    x = 198,595.27

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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.