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Finding the Third Proportional to 93,879 and 192,132

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Solution

The third proportional to 93,879 and 192,132 is: 393,215.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,879 : 192,132 = 192,132 : x
  2. Step 2: Convert to fraction form
    93,879/192,132 = 192,132/x
  3. Step 3: Cross multiply
    93,879x = 192,132 × 192,132
  4. Step 4: Simplify right side
    93,879x = 36,914,705,424
  5. Step 5: Solve for x
    x = 36,914,705,424/93,879
  6. Step 6: Final answer
    x = 393,215.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.