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Finding the Third Proportional to 54,394 and 76,601

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Solution

The third proportional to 54,394 and 76,601 is: 107,874.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,394 : 76,601 = 76,601 : x
  2. Step 2: Convert to fraction form
    54,394/76,601 = 76,601/x
  3. Step 3: Cross multiply
    54,394x = 76,601 × 76,601
  4. Step 4: Simplify right side
    54,394x = 5,867,713,201
  5. Step 5: Solve for x
    x = 5,867,713,201/54,394
  6. Step 6: Final answer
    x = 107,874.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.