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Finding the Third Proportional to 41,239 and 91,922

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Solution

The third proportional to 41,239 and 91,922 is: 204,894.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,239 : 91,922 = 91,922 : x
  2. Step 2: Convert to fraction form
    41,239/91,922 = 91,922/x
  3. Step 3: Cross multiply
    41,239x = 91,922 × 91,922
  4. Step 4: Simplify right side
    41,239x = 8,449,654,084
  5. Step 5: Solve for x
    x = 8,449,654,084/41,239
  6. Step 6: Final answer
    x = 204,894.74

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.