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Finding the Third Proportional to 55,016.72 and 114,339.09

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Solution

The third proportional to 55,016.72 and 114,339.09 is: 237,626.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,016.72 : 114,339.09 = 114,339.09 : x
  2. Step 2: Convert to fraction form
    55,016.72/114,339.09 = 114,339.09/x
  3. Step 3: Cross multiply
    55,016.72x = 114,339.09 × 114,339.09
  4. Step 4: Simplify right side
    55,016.72x = 13,073,428,359.57
  5. Step 5: Solve for x
    x = 13,073,428,359.57/55,016.72
  6. Step 6: Final answer
    x = 237,626.46

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.