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Finding the Third Proportional to 54,469.13 and 81,676.69

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Solution

The third proportional to 54,469.13 and 81,676.69 is: 122,474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,469.13 : 81,676.69 = 81,676.69 : x
  2. Step 2: Convert to fraction form
    54,469.13/81,676.69 = 81,676.69/x
  3. Step 3: Cross multiply
    54,469.13x = 81,676.69 × 81,676.69
  4. Step 4: Simplify right side
    54,469.13x = 6,671,081,280.97
  5. Step 5: Solve for x
    x = 6,671,081,280.97/54,469.13
  6. Step 6: Final answer
    x = 122,474.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.