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Finding the Third Proportional to 54,318 and 113,601

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Solution

The third proportional to 54,318 and 113,601 is: 237,585.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,318 : 113,601 = 113,601 : x
  2. Step 2: Convert to fraction form
    54,318/113,601 = 113,601/x
  3. Step 3: Cross multiply
    54,318x = 113,601 × 113,601
  4. Step 4: Simplify right side
    54,318x = 12,905,187,201
  5. Step 5: Solve for x
    x = 12,905,187,201/54,318
  6. Step 6: Final answer
    x = 237,585.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.