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Finding the Third Proportional to 106.88 and 164.81

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Solution

The third proportional to 106.88 and 164.81 is: 254.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.88 : 164.81 = 164.81 : x
  2. Step 2: Convert to fraction form
    106.88/164.81 = 164.81/x
  3. Step 3: Cross multiply
    106.88x = 164.81 × 164.81
  4. Step 4: Simplify right side
    106.88x = 27,163.16
  5. Step 5: Solve for x
    x = 27,163.16/106.88
  6. Step 6: Final answer
    x = 254.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.