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Finding the Third Proportional to 123,236 and 187,163

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Solution

The third proportional to 123,236 and 187,163 is: 284,251.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,236 : 187,163 = 187,163 : x
  2. Step 2: Convert to fraction form
    123,236/187,163 = 187,163/x
  3. Step 3: Cross multiply
    123,236x = 187,163 × 187,163
  4. Step 4: Simplify right side
    123,236x = 35,029,988,569
  5. Step 5: Solve for x
    x = 35,029,988,569/123,236
  6. Step 6: Final answer
    x = 284,251.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.