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Finding the Third Proportional to 98.96 and 164.14

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Solution

The third proportional to 98.96 and 164.14 is: 272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.96 : 164.14 = 164.14 : x
  2. Step 2: Convert to fraction form
    98.96/164.14 = 164.14/x
  3. Step 3: Cross multiply
    98.96x = 164.14 × 164.14
  4. Step 4: Simplify right side
    98.96x = 26,940.54
  5. Step 5: Solve for x
    x = 26,940.54/98.96
  6. Step 6: Final answer
    x = 272.25

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.