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Finding the Third Proportional to 110.64 and 166.01

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Solution

The third proportional to 110.64 and 166.01 is: 249.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.64 : 166.01 = 166.01 : x
  2. Step 2: Convert to fraction form
    110.64/166.01 = 166.01/x
  3. Step 3: Cross multiply
    110.64x = 166.01 × 166.01
  4. Step 4: Simplify right side
    110.64x = 27,558.59
  5. Step 5: Solve for x
    x = 27,558.59/110.64
  6. Step 6: Final answer
    x = 249.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.