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Finding the Third Proportional to 132,950 and 199,517

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Solution

The third proportional to 132,950 and 199,517 is: 299,413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,950 : 199,517 = 199,517 : x
  2. Step 2: Convert to fraction form
    132,950/199,517 = 199,517/x
  3. Step 3: Cross multiply
    132,950x = 199,517 × 199,517
  4. Step 4: Simplify right side
    132,950x = 39,807,033,289
  5. Step 5: Solve for x
    x = 39,807,033,289/132,950
  6. Step 6: Final answer
    x = 299,413.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.