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Finding the Third Proportional to 67,227 and 143,286

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Solution

The third proportional to 67,227 and 143,286 is: 305,396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,227 : 143,286 = 143,286 : x
  2. Step 2: Convert to fraction form
    67,227/143,286 = 143,286/x
  3. Step 3: Cross multiply
    67,227x = 143,286 × 143,286
  4. Step 4: Simplify right side
    67,227x = 20,530,877,796
  5. Step 5: Solve for x
    x = 20,530,877,796/67,227
  6. Step 6: Final answer
    x = 305,396.31

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.