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Finding the Third Proportional to 67,344 and 141,788

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Solution

The third proportional to 67,344 and 141,788 is: 298,524.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,344 : 141,788 = 141,788 : x
  2. Step 2: Convert to fraction form
    67,344/141,788 = 141,788/x
  3. Step 3: Cross multiply
    67,344x = 141,788 × 141,788
  4. Step 4: Simplify right side
    67,344x = 20,103,836,944
  5. Step 5: Solve for x
    x = 20,103,836,944/67,344
  6. Step 6: Final answer
    x = 298,524.54

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.