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Finding the Third Proportional to 54,040 and 80,844

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Solution

The third proportional to 54,040 and 80,844 is: 120,942.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,040 : 80,844 = 80,844 : x
  2. Step 2: Convert to fraction form
    54,040/80,844 = 80,844/x
  3. Step 3: Cross multiply
    54,040x = 80,844 × 80,844
  4. Step 4: Simplify right side
    54,040x = 6,535,752,336
  5. Step 5: Solve for x
    x = 6,535,752,336/54,040
  6. Step 6: Final answer
    x = 120,942.86

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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.