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Finding the Third Proportional to 41,885 and 91,156

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Solution

The third proportional to 41,885 and 91,156 is: 198,386.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,885 : 91,156 = 91,156 : x
  2. Step 2: Convert to fraction form
    41,885/91,156 = 91,156/x
  3. Step 3: Cross multiply
    41,885x = 91,156 × 91,156
  4. Step 4: Simplify right side
    41,885x = 8,309,416,336
  5. Step 5: Solve for x
    x = 8,309,416,336/41,885
  6. Step 6: Final answer
    x = 198,386.45

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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.