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Finding the Third Proportional to 56,683 and 123,302

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Solution

The third proportional to 56,683 and 123,302 is: 268,217.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,683 : 123,302 = 123,302 : x
  2. Step 2: Convert to fraction form
    56,683/123,302 = 123,302/x
  3. Step 3: Cross multiply
    56,683x = 123,302 × 123,302
  4. Step 4: Simplify right side
    56,683x = 15,203,383,204
  5. Step 5: Solve for x
    x = 15,203,383,204/56,683
  6. Step 6: Final answer
    x = 268,217.69

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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.