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Finding the Third Proportional to 49,778 and 108,305

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Solution

The third proportional to 49,778 and 108,305 is: 235,645.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,778 : 108,305 = 108,305 : x
  2. Step 2: Convert to fraction form
    49,778/108,305 = 108,305/x
  3. Step 3: Cross multiply
    49,778x = 108,305 × 108,305
  4. Step 4: Simplify right side
    49,778x = 11,729,973,025
  5. Step 5: Solve for x
    x = 11,729,973,025/49,778
  6. Step 6: Final answer
    x = 235,645.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.