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Finding the Third Proportional to 73,917 and 159,741

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Solution

The third proportional to 73,917 and 159,741 is: 345,214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,917 : 159,741 = 159,741 : x
  2. Step 2: Convert to fraction form
    73,917/159,741 = 159,741/x
  3. Step 3: Cross multiply
    73,917x = 159,741 × 159,741
  4. Step 4: Simplify right side
    73,917x = 25,517,187,081
  5. Step 5: Solve for x
    x = 25,517,187,081/73,917
  6. Step 6: Final answer
    x = 345,214.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.