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Finding the Third Proportional to 41,227 and 88,969

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Solution

The third proportional to 41,227 and 88,969 is: 191,997.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,227 : 88,969 = 88,969 : x
  2. Step 2: Convert to fraction form
    41,227/88,969 = 88,969/x
  3. Step 3: Cross multiply
    41,227x = 88,969 × 88,969
  4. Step 4: Simplify right side
    41,227x = 7,915,482,961
  5. Step 5: Solve for x
    x = 7,915,482,961/41,227
  6. Step 6: Final answer
    x = 191,997.55

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.