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Finding the Third Proportional to 42,227 and 91,150

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Solution

The third proportional to 42,227 and 91,150 is: 196,753.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,227 : 91,150 = 91,150 : x
  2. Step 2: Convert to fraction form
    42,227/91,150 = 91,150/x
  3. Step 3: Cross multiply
    42,227x = 91,150 × 91,150
  4. Step 4: Simplify right side
    42,227x = 8,308,322,500
  5. Step 5: Solve for x
    x = 8,308,322,500/42,227
  6. Step 6: Final answer
    x = 196,753.79

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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.