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Finding the Third Proportional to 67,874 and 144,764

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Solution

The third proportional to 67,874 and 144,764 is: 308,757.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,874 : 144,764 = 144,764 : x
  2. Step 2: Convert to fraction form
    67,874/144,764 = 144,764/x
  3. Step 3: Cross multiply
    67,874x = 144,764 × 144,764
  4. Step 4: Simplify right side
    67,874x = 20,956,615,696
  5. Step 5: Solve for x
    x = 20,956,615,696/67,874
  6. Step 6: Final answer
    x = 308,757.63

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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.