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Finding the Third Proportional to 54,739.13 and 119,638.69

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Solution

The third proportional to 54,739.13 and 119,638.69 is: 261,484.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,739.13 : 119,638.69 = 119,638.69 : x
  2. Step 2: Convert to fraction form
    54,739.13/119,638.69 = 119,638.69/x
  3. Step 3: Cross multiply
    54,739.13x = 119,638.69 × 119,638.69
  4. Step 4: Simplify right side
    54,739.13x = 14,313,415,546.72
  5. Step 5: Solve for x
    x = 14,313,415,546.72/54,739.13
  6. Step 6: Final answer
    x = 261,484.19

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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.