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Finding the Third Proportional to 49,754.25 and 108,162

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Solution

The third proportional to 49,754.25 and 108,162 is: 235,136.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,754.25 : 108,162 = 108,162 : x
  2. Step 2: Convert to fraction form
    49,754.25/108,162 = 108,162/x
  3. Step 3: Cross multiply
    49,754.25x = 108,162 × 108,162
  4. Step 4: Simplify right side
    49,754.25x = 11,699,018,244
  5. Step 5: Solve for x
    x = 11,699,018,244/49,754.25
  6. Step 6: Final answer
    x = 235,136.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.