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Finding the Third Proportional to 41,245 and 91,966

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Solution

The third proportional to 41,245 and 91,966 is: 205,061.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,245 : 91,966 = 91,966 : x
  2. Step 2: Convert to fraction form
    41,245/91,966 = 91,966/x
  3. Step 3: Cross multiply
    41,245x = 91,966 × 91,966
  4. Step 4: Simplify right side
    41,245x = 8,457,745,156
  5. Step 5: Solve for x
    x = 8,457,745,156/41,245
  6. Step 6: Final answer
    x = 205,061.10

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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.