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Finding the Third Proportional to 54,016 and 113,512

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Solution

The third proportional to 54,016 and 113,512 is: 238,539.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,016 : 113,512 = 113,512 : x
  2. Step 2: Convert to fraction form
    54,016/113,512 = 113,512/x
  3. Step 3: Cross multiply
    54,016x = 113,512 × 113,512
  4. Step 4: Simplify right side
    54,016x = 12,884,974,144
  5. Step 5: Solve for x
    x = 12,884,974,144/54,016
  6. Step 6: Final answer
    x = 238,539.95

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.