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Finding the Third Proportional to 56,736 and 123,422

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Solution

The third proportional to 56,736 and 123,422 is: 268,488.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,736 : 123,422 = 123,422 : x
  2. Step 2: Convert to fraction form
    56,736/123,422 = 123,422/x
  3. Step 3: Cross multiply
    56,736x = 123,422 × 123,422
  4. Step 4: Simplify right side
    56,736x = 15,232,990,084
  5. Step 5: Solve for x
    x = 15,232,990,084/56,736
  6. Step 6: Final answer
    x = 268,488.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.