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Finding the Third Proportional to 133,826 and 192,355

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Solution

The third proportional to 133,826 and 192,355 is: 276,481.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,826 : 192,355 = 192,355 : x
  2. Step 2: Convert to fraction form
    133,826/192,355 = 192,355/x
  3. Step 3: Cross multiply
    133,826x = 192,355 × 192,355
  4. Step 4: Simplify right side
    133,826x = 37,000,446,025
  5. Step 5: Solve for x
    x = 37,000,446,025/133,826
  6. Step 6: Final answer
    x = 276,481.75

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.