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Finding the Third Proportional to 54,633 and 82,449

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Solution

The third proportional to 54,633 and 82,449 is: 124,427.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,633 : 82,449 = 82,449 : x
  2. Step 2: Convert to fraction form
    54,633/82,449 = 82,449/x
  3. Step 3: Cross multiply
    54,633x = 82,449 × 82,449
  4. Step 4: Simplify right side
    54,633x = 6,797,837,601
  5. Step 5: Solve for x
    x = 6,797,837,601/54,633
  6. Step 6: Final answer
    x = 124,427.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.