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Finding the Third Proportional to 69.09 and 151.69

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Solution

The third proportional to 69.09 and 151.69 is: 333.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.09 : 151.69 = 151.69 : x
  2. Step 2: Convert to fraction form
    69.09/151.69 = 151.69/x
  3. Step 3: Cross multiply
    69.09x = 151.69 × 151.69
  4. Step 4: Simplify right side
    69.09x = 23,009.10
  5. Step 5: Solve for x
    x = 23,009.10/69.09
  6. Step 6: Final answer
    x = 333.01

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.