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Finding the Third Proportional to 49,548 and 108,936

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Solution

The third proportional to 49,548 and 108,936 is: 239,506.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,548 : 108,936 = 108,936 : x
  2. Step 2: Convert to fraction form
    49,548/108,936 = 108,936/x
  3. Step 3: Cross multiply
    49,548x = 108,936 × 108,936
  4. Step 4: Simplify right side
    49,548x = 11,867,052,096
  5. Step 5: Solve for x
    x = 11,867,052,096/49,548
  6. Step 6: Final answer
    x = 239,506.18

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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.