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Finding the Third Proportional to 54,006.75 and 111,467.25

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Solution

The third proportional to 54,006.75 and 111,467.25 is: 230,062.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,006.75 : 111,467.25 = 111,467.25 : x
  2. Step 2: Convert to fraction form
    54,006.75/111,467.25 = 111,467.25/x
  3. Step 3: Cross multiply
    54,006.75x = 111,467.25 × 111,467.25
  4. Step 4: Simplify right side
    54,006.75x = 12,424,947,822.56
  5. Step 5: Solve for x
    x = 12,424,947,822.56/54,006.75
  6. Step 6: Final answer
    x = 230,062.87

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.