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Finding the Third Proportional to 54,794 and 82,253

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Solution

The third proportional to 54,794 and 82,253 is: 123,472.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,794 : 82,253 = 82,253 : x
  2. Step 2: Convert to fraction form
    54,794/82,253 = 82,253/x
  3. Step 3: Cross multiply
    54,794x = 82,253 × 82,253
  4. Step 4: Simplify right side
    54,794x = 6,765,556,009
  5. Step 5: Solve for x
    x = 6,765,556,009/54,794
  6. Step 6: Final answer
    x = 123,472.57

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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.