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Finding the Third Proportional to 39,227 and 85,254

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Solution

The third proportional to 39,227 and 85,254 is: 185,286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,227 : 85,254 = 85,254 : x
  2. Step 2: Convert to fraction form
    39,227/85,254 = 85,254/x
  3. Step 3: Cross multiply
    39,227x = 85,254 × 85,254
  4. Step 4: Simplify right side
    39,227x = 7,268,244,516
  5. Step 5: Solve for x
    x = 7,268,244,516/39,227
  6. Step 6: Final answer
    x = 185,286.78

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