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Finding the Third Proportional to 54,936 and 82,269

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Solution

The third proportional to 54,936 and 82,269 is: 123,201.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,936 : 82,269 = 82,269 : x
  2. Step 2: Convert to fraction form
    54,936/82,269 = 82,269/x
  3. Step 3: Cross multiply
    54,936x = 82,269 × 82,269
  4. Step 4: Simplify right side
    54,936x = 6,768,188,361
  5. Step 5: Solve for x
    x = 6,768,188,361/54,936
  6. Step 6: Final answer
    x = 123,201.33

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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.