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Finding the Third Proportional to 54,533.25 and 119,778.75

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Solution

The third proportional to 54,533.25 and 119,778.75 is: 263,086.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,533.25 : 119,778.75 = 119,778.75 : x
  2. Step 2: Convert to fraction form
    54,533.25/119,778.75 = 119,778.75/x
  3. Step 3: Cross multiply
    54,533.25x = 119,778.75 × 119,778.75
  4. Step 4: Simplify right side
    54,533.25x = 14,346,948,951.56
  5. Step 5: Solve for x
    x = 14,346,948,951.56/54,533.25
  6. Step 6: Final answer
    x = 263,086.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.