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Finding the Third Proportional to 54,939 and 82,393

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Solution

The third proportional to 54,939 and 82,393 is: 123,566.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,939 : 82,393 = 82,393 : x
  2. Step 2: Convert to fraction form
    54,939/82,393 = 82,393/x
  3. Step 3: Cross multiply
    54,939x = 82,393 × 82,393
  4. Step 4: Simplify right side
    54,939x = 6,788,606,449
  5. Step 5: Solve for x
    x = 6,788,606,449/54,939
  6. Step 6: Final answer
    x = 123,566.25

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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.