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Finding the Third Proportional to 49,708.50 and 105,174.75

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Solution

The third proportional to 49,708.50 and 105,174.75 is: 222,531.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,708.50 : 105,174.75 = 105,174.75 : x
  2. Step 2: Convert to fraction form
    49,708.50/105,174.75 = 105,174.75/x
  3. Step 3: Cross multiply
    49,708.50x = 105,174.75 × 105,174.75
  4. Step 4: Simplify right side
    49,708.50x = 11,061,728,037.56
  5. Step 5: Solve for x
    x = 11,061,728,037.56/49,708.50
  6. Step 6: Final answer
    x = 222,531.92

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.