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Finding the Third Proportional to 135,322 and 192,337

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Solution

The third proportional to 135,322 and 192,337 is: 273,374.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,322 : 192,337 = 192,337 : x
  2. Step 2: Convert to fraction form
    135,322/192,337 = 192,337/x
  3. Step 3: Cross multiply
    135,322x = 192,337 × 192,337
  4. Step 4: Simplify right side
    135,322x = 36,993,521,569
  5. Step 5: Solve for x
    x = 36,993,521,569/135,322
  6. Step 6: Final answer
    x = 273,374.04

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.