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Finding the Third Proportional to 49,530 and 108,858

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Solution

The third proportional to 49,530 and 108,858 is: 239,250.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,530 : 108,858 = 108,858 : x
  2. Step 2: Convert to fraction form
    49,530/108,858 = 108,858/x
  3. Step 3: Cross multiply
    49,530x = 108,858 × 108,858
  4. Step 4: Simplify right side
    49,530x = 11,850,064,164
  5. Step 5: Solve for x
    x = 11,850,064,164/49,530
  6. Step 6: Final answer
    x = 239,250.24

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.