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Finding the Third Proportional to 123,067 and 175,981

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Solution

The third proportional to 123,067 and 175,981 is: 251,645.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,067 : 175,981 = 175,981 : x
  2. Step 2: Convert to fraction form
    123,067/175,981 = 175,981/x
  3. Step 3: Cross multiply
    123,067x = 175,981 × 175,981
  4. Step 4: Simplify right side
    123,067x = 30,969,312,361
  5. Step 5: Solve for x
    x = 30,969,312,361/123,067
  6. Step 6: Final answer
    x = 251,645.95

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.