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Finding the Third Proportional to 172 and 189.75

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Solution

The third proportional to 172 and 189.75 is: 209.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    172 : 189.75 = 189.75 : x
  2. Step 2: Convert to fraction form
    172/189.75 = 189.75/x
  3. Step 3: Cross multiply
    172x = 189.75 × 189.75
  4. Step 4: Simplify right side
    172x = 36,005.06
  5. Step 5: Solve for x
    x = 36,005.06/172
  6. Step 6: Final answer
    x = 209.33

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.