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Finding the Third Proportional to 101.06 and 168.09

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Solution

The third proportional to 101.06 and 168.09 is: 279.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.06 : 168.09 = 168.09 : x
  2. Step 2: Convert to fraction form
    101.06/168.09 = 168.09/x
  3. Step 3: Cross multiply
    101.06x = 168.09 × 168.09
  4. Step 4: Simplify right side
    101.06x = 28,255.51
  5. Step 5: Solve for x
    x = 28,255.51/101.06
  6. Step 6: Final answer
    x = 279.58

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