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Finding the Third Proportional to 87,622 and 123,983

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Solution

The third proportional to 87,622 and 123,983 is: 175,432.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,622 : 123,983 = 123,983 : x
  2. Step 2: Convert to fraction form
    87,622/123,983 = 123,983/x
  3. Step 3: Cross multiply
    87,622x = 123,983 × 123,983
  4. Step 4: Simplify right side
    87,622x = 15,371,784,289
  5. Step 5: Solve for x
    x = 15,371,784,289/87,622
  6. Step 6: Final answer
    x = 175,432.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.