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Finding the Third Proportional to 49,796 and 106,180

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Solution

The third proportional to 49,796 and 106,180 is: 226,407.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,796 : 106,180 = 106,180 : x
  2. Step 2: Convert to fraction form
    49,796/106,180 = 106,180/x
  3. Step 3: Cross multiply
    49,796x = 106,180 × 106,180
  4. Step 4: Simplify right side
    49,796x = 11,274,192,400
  5. Step 5: Solve for x
    x = 11,274,192,400/49,796
  6. Step 6: Final answer
    x = 226,407.59

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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.