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Finding the Third Proportional to 104 and 160.69

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Solution

The third proportional to 104 and 160.69 is: 248.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    104 : 160.69 = 160.69 : x
  2. Step 2: Convert to fraction form
    104/160.69 = 160.69/x
  3. Step 3: Cross multiply
    104x = 160.69 × 160.69
  4. Step 4: Simplify right side
    104x = 25,820.47
  5. Step 5: Solve for x
    x = 25,820.47/104
  6. Step 6: Final answer
    x = 248.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.