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Finding the Third Proportional to 67,418 and 149,800

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Solution

The third proportional to 67,418 and 149,800 is: 332,849.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,418 : 149,800 = 149,800 : x
  2. Step 2: Convert to fraction form
    67,418/149,800 = 149,800/x
  3. Step 3: Cross multiply
    67,418x = 149,800 × 149,800
  4. Step 4: Simplify right side
    67,418x = 22,440,040,000
  5. Step 5: Solve for x
    x = 22,440,040,000/67,418
  6. Step 6: Final answer
    x = 332,849.39

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.