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Finding the Third Proportional to 49,438 and 106,651

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Solution

The third proportional to 49,438 and 106,651 is: 230,074.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,438 : 106,651 = 106,651 : x
  2. Step 2: Convert to fraction form
    49,438/106,651 = 106,651/x
  3. Step 3: Cross multiply
    49,438x = 106,651 × 106,651
  4. Step 4: Simplify right side
    49,438x = 11,374,435,801
  5. Step 5: Solve for x
    x = 11,374,435,801/49,438
  6. Step 6: Final answer
    x = 230,074.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.