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Finding the Third Proportional to 111,942 and 173,322

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Solution

The third proportional to 111,942 and 173,322 is: 268,357.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,942 : 173,322 = 173,322 : x
  2. Step 2: Convert to fraction form
    111,942/173,322 = 173,322/x
  3. Step 3: Cross multiply
    111,942x = 173,322 × 173,322
  4. Step 4: Simplify right side
    111,942x = 30,040,515,684
  5. Step 5: Solve for x
    x = 30,040,515,684/111,942
  6. Step 6: Final answer
    x = 268,357.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.