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Finding the Third Proportional to 54,076.50 and 115,626

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Solution

The third proportional to 54,076.50 and 115,626 is: 247,230.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,076.50 : 115,626 = 115,626 : x
  2. Step 2: Convert to fraction form
    54,076.50/115,626 = 115,626/x
  3. Step 3: Cross multiply
    54,076.50x = 115,626 × 115,626
  4. Step 4: Simplify right side
    54,076.50x = 13,369,371,876
  5. Step 5: Solve for x
    x = 13,369,371,876/54,076.50
  6. Step 6: Final answer
    x = 247,230.72

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.