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Finding the Third Proportional to 54,456.50 and 83,286.75

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Solution

The third proportional to 54,456.50 and 83,286.75 is: 127,380.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,456.50 : 83,286.75 = 83,286.75 : x
  2. Step 2: Convert to fraction form
    54,456.50/83,286.75 = 83,286.75/x
  3. Step 3: Cross multiply
    54,456.50x = 83,286.75 × 83,286.75
  4. Step 4: Simplify right side
    54,456.50x = 6,936,682,725.56
  5. Step 5: Solve for x
    x = 6,936,682,725.56/54,456.50
  6. Step 6: Final answer
    x = 127,380.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.