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Finding the Third Proportional to 165.94 and 181.13

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Solution

The third proportional to 165.94 and 181.13 is: 197.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.94 : 181.13 = 181.13 : x
  2. Step 2: Convert to fraction form
    165.94/181.13 = 181.13/x
  3. Step 3: Cross multiply
    165.94x = 181.13 × 181.13
  4. Step 4: Simplify right side
    165.94x = 32,806.27
  5. Step 5: Solve for x
    x = 32,806.27/165.94
  6. Step 6: Final answer
    x = 197.70

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.