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Finding the Third Proportional to 172 and 192

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Solution

The third proportional to 172 and 192 is: 214.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    172 : 192 = 192 : x
  2. Step 2: Convert to fraction form
    172/192 = 192/x
  3. Step 3: Cross multiply
    172x = 192 × 192
  4. Step 4: Simplify right side
    172x = 36,864
  5. Step 5: Solve for x
    x = 36,864/172
  6. Step 6: Final answer
    x = 214.33

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.