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Finding the Third Proportional to 110,947 and 162,874

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Solution

The third proportional to 110,947 and 162,874 is: 239,104.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,947 : 162,874 = 162,874 : x
  2. Step 2: Convert to fraction form
    110,947/162,874 = 162,874/x
  3. Step 3: Cross multiply
    110,947x = 162,874 × 162,874
  4. Step 4: Simplify right side
    110,947x = 26,527,939,876
  5. Step 5: Solve for x
    x = 26,527,939,876/110,947
  6. Step 6: Final answer
    x = 239,104.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.