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Finding the Third Proportional to 54,675 and 119,469.94

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Solution

The third proportional to 54,675 and 119,469.94 is: 261,052.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,675 : 119,469.94 = 119,469.94 : x
  2. Step 2: Convert to fraction form
    54,675/119,469.94 = 119,469.94/x
  3. Step 3: Cross multiply
    54,675x = 119,469.94 × 119,469.94
  4. Step 4: Simplify right side
    54,675x = 14,273,065,966.25
  5. Step 5: Solve for x
    x = 14,273,065,966.25/54,675
  6. Step 6: Final answer
    x = 261,052.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.