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Finding the Third Proportional to 34,568 and 73,874

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Solution

The third proportional to 34,568 and 73,874 is: 157,873.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,568 : 73,874 = 73,874 : x
  2. Step 2: Convert to fraction form
    34,568/73,874 = 73,874/x
  3. Step 3: Cross multiply
    34,568x = 73,874 × 73,874
  4. Step 4: Simplify right side
    34,568x = 5,457,367,876
  5. Step 5: Solve for x
    x = 5,457,367,876/34,568
  6. Step 6: Final answer
    x = 157,873.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.