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Finding the Third Proportional to 49,558 and 108,956

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Solution

The third proportional to 49,558 and 108,956 is: 239,545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,558 : 108,956 = 108,956 : x
  2. Step 2: Convert to fraction form
    49,558/108,956 = 108,956/x
  3. Step 3: Cross multiply
    49,558x = 108,956 × 108,956
  4. Step 4: Simplify right side
    49,558x = 11,871,409,936
  5. Step 5: Solve for x
    x = 11,871,409,936/49,558
  6. Step 6: Final answer
    x = 239,545.78

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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.