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Finding the Third Proportional to 101.38 and 164.19

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Solution

The third proportional to 101.38 and 164.19 is: 265.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.38 : 164.19 = 164.19 : x
  2. Step 2: Convert to fraction form
    101.38/164.19 = 164.19/x
  3. Step 3: Cross multiply
    101.38x = 164.19 × 164.19
  4. Step 4: Simplify right side
    101.38x = 26,957.54
  5. Step 5: Solve for x
    x = 26,957.54/101.38
  6. Step 6: Final answer
    x = 265.92

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.