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Finding the Third Proportional to 123,181 and 171,622

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Solution

The third proportional to 123,181 and 171,622 is: 239,112.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,181 : 171,622 = 171,622 : x
  2. Step 2: Convert to fraction form
    123,181/171,622 = 171,622/x
  3. Step 3: Cross multiply
    123,181x = 171,622 × 171,622
  4. Step 4: Simplify right side
    123,181x = 29,454,110,884
  5. Step 5: Solve for x
    x = 29,454,110,884/123,181
  6. Step 6: Final answer
    x = 239,112.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.