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Finding the Third Proportional to 49,888 and 106,694

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Solution

The third proportional to 49,888 and 106,694 is: 228,183.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,888 : 106,694 = 106,694 : x
  2. Step 2: Convert to fraction form
    49,888/106,694 = 106,694/x
  3. Step 3: Cross multiply
    49,888x = 106,694 × 106,694
  4. Step 4: Simplify right side
    49,888x = 11,383,609,636
  5. Step 5: Solve for x
    x = 11,383,609,636/49,888
  6. Step 6: Final answer
    x = 228,183.32

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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.