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Finding the Third Proportional to 106 and 192

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Solution

The third proportional to 106 and 192 is: 347.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106 : 192 = 192 : x
  2. Step 2: Convert to fraction form
    106/192 = 192/x
  3. Step 3: Cross multiply
    106x = 192 × 192
  4. Step 4: Simplify right side
    106x = 36,864
  5. Step 5: Solve for x
    x = 36,864/106
  6. Step 6: Final answer
    x = 347.77

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.