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Finding the Third Proportional to 104.65 and 158.04

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Solution

The third proportional to 104.65 and 158.04 is: 238.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.65 : 158.04 = 158.04 : x
  2. Step 2: Convert to fraction form
    104.65/158.04 = 158.04/x
  3. Step 3: Cross multiply
    104.65x = 158.04 × 158.04
  4. Step 4: Simplify right side
    104.65x = 24,978.20
  5. Step 5: Solve for x
    x = 24,978.20/104.65
  6. Step 6: Final answer
    x = 238.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.