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Finding the Third Proportional to 68.82 and 104.89

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Solution

The third proportional to 68.82 and 104.89 is: 159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.82 : 104.89 = 104.89 : x
  2. Step 2: Convert to fraction form
    68.82/104.89 = 104.89/x
  3. Step 3: Cross multiply
    68.82x = 104.89 × 104.89
  4. Step 4: Simplify right side
    68.82x = 11,001.63
  5. Step 5: Solve for x
    x = 11,001.63/68.82
  6. Step 6: Final answer
    x = 159.86

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.