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Finding the Third Proportional to 100.69 and 151.06

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Solution

The third proportional to 100.69 and 151.06 is: 226.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.69 : 151.06 = 151.06 : x
  2. Step 2: Convert to fraction form
    100.69/151.06 = 151.06/x
  3. Step 3: Cross multiply
    100.69x = 151.06 × 151.06
  4. Step 4: Simplify right side
    100.69x = 22,819.88
  5. Step 5: Solve for x
    x = 22,819.88/100.69
  6. Step 6: Final answer
    x = 226.64

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