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Finding the Third Proportional to 54,632.25 and 111,269.25

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Solution

The third proportional to 54,632.25 and 111,269.25 is: 226,621.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,632.25 : 111,269.25 = 111,269.25 : x
  2. Step 2: Convert to fraction form
    54,632.25/111,269.25 = 111,269.25/x
  3. Step 3: Cross multiply
    54,632.25x = 111,269.25 × 111,269.25
  4. Step 4: Simplify right side
    54,632.25x = 12,380,845,995.56
  5. Step 5: Solve for x
    x = 12,380,845,995.56/54,632.25
  6. Step 6: Final answer
    x = 226,621.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.