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Finding the Third Proportional to 67,408 and 144,992

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Solution

The third proportional to 67,408 and 144,992 is: 311,872.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,408 : 144,992 = 144,992 : x
  2. Step 2: Convert to fraction form
    67,408/144,992 = 144,992/x
  3. Step 3: Cross multiply
    67,408x = 144,992 × 144,992
  4. Step 4: Simplify right side
    67,408x = 21,022,680,064
  5. Step 5: Solve for x
    x = 21,022,680,064/67,408
  6. Step 6: Final answer
    x = 311,872.18

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.