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Finding the Third Proportional to 49,215 and 104,874

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Solution

The third proportional to 49,215 and 104,874 is: 223,479.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,215 : 104,874 = 104,874 : x
  2. Step 2: Convert to fraction form
    49,215/104,874 = 104,874/x
  3. Step 3: Cross multiply
    49,215x = 104,874 × 104,874
  4. Step 4: Simplify right side
    49,215x = 10,998,555,876
  5. Step 5: Solve for x
    x = 10,998,555,876/49,215
  6. Step 6: Final answer
    x = 223,479.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.