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Finding the Third Proportional to 54,025.73 and 116,321.06

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Solution

The third proportional to 54,025.73 and 116,321.06 is: 250,447.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,025.73 : 116,321.06 = 116,321.06 : x
  2. Step 2: Convert to fraction form
    54,025.73/116,321.06 = 116,321.06/x
  3. Step 3: Cross multiply
    54,025.73x = 116,321.06 × 116,321.06
  4. Step 4: Simplify right side
    54,025.73x = 13,530,589,581.13
  5. Step 5: Solve for x
    x = 13,530,589,581.13/54,025.73
  6. Step 6: Final answer
    x = 250,447.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.