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Finding the Third Proportional to 131,438 and 185,983

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Solution

The third proportional to 131,438 and 185,983 is: 263,163.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,438 : 185,983 = 185,983 : x
  2. Step 2: Convert to fraction form
    131,438/185,983 = 185,983/x
  3. Step 3: Cross multiply
    131,438x = 185,983 × 185,983
  4. Step 4: Simplify right side
    131,438x = 34,589,676,289
  5. Step 5: Solve for x
    x = 34,589,676,289/131,438
  6. Step 6: Final answer
    x = 263,163.44

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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.