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Finding the Third Proportional to 135,234 and 192,219

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Solution

The third proportional to 135,234 and 192,219 is: 273,216.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,234 : 192,219 = 192,219 : x
  2. Step 2: Convert to fraction form
    135,234/192,219 = 192,219/x
  3. Step 3: Cross multiply
    135,234x = 192,219 × 192,219
  4. Step 4: Simplify right side
    135,234x = 36,948,143,961
  5. Step 5: Solve for x
    x = 36,948,143,961/135,234
  6. Step 6: Final answer
    x = 273,216.38

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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.