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Finding the Third Proportional to 100.81 and 151.09

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Solution

The third proportional to 100.81 and 151.09 is: 226.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.81 : 151.09 = 151.09 : x
  2. Step 2: Convert to fraction form
    100.81/151.09 = 151.09/x
  3. Step 3: Cross multiply
    100.81x = 151.09 × 151.09
  4. Step 4: Simplify right side
    100.81x = 22,829.32
  5. Step 5: Solve for x
    x = 22,829.32/100.81
  6. Step 6: Final answer
    x = 226.45

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Why These Related Problems?

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