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Finding the Third Proportional to 67,226 and 146,744

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Solution

The third proportional to 67,226 and 146,744 is: 320,319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,226 : 146,744 = 146,744 : x
  2. Step 2: Convert to fraction form
    67,226/146,744 = 146,744/x
  3. Step 3: Cross multiply
    67,226x = 146,744 × 146,744
  4. Step 4: Simplify right side
    67,226x = 21,533,801,536
  5. Step 5: Solve for x
    x = 21,533,801,536/67,226
  6. Step 6: Final answer
    x = 320,319.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.