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Finding the Third Proportional to 41,961 and 91,226

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Solution

The third proportional to 41,961 and 91,226 is: 198,331.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,961 : 91,226 = 91,226 : x
  2. Step 2: Convert to fraction form
    41,961/91,226 = 91,226/x
  3. Step 3: Cross multiply
    41,961x = 91,226 × 91,226
  4. Step 4: Simplify right side
    41,961x = 8,322,183,076
  5. Step 5: Solve for x
    x = 8,322,183,076/41,961
  6. Step 6: Final answer
    x = 198,331.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.