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Finding the Third Proportional to 49,812 and 107,922

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Solution

The third proportional to 49,812 and 107,922 is: 233,822.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,812 : 107,922 = 107,922 : x
  2. Step 2: Convert to fraction form
    49,812/107,922 = 107,922/x
  3. Step 3: Cross multiply
    49,812x = 107,922 × 107,922
  4. Step 4: Simplify right side
    49,812x = 11,647,158,084
  5. Step 5: Solve for x
    x = 11,647,158,084/49,812
  6. Step 6: Final answer
    x = 233,822.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.