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Finding the Third Proportional to 100.44 and 134.69

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Solution

The third proportional to 100.44 and 134.69 is: 180.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.44 : 134.69 = 134.69 : x
  2. Step 2: Convert to fraction form
    100.44/134.69 = 134.69/x
  3. Step 3: Cross multiply
    100.44x = 134.69 × 134.69
  4. Step 4: Simplify right side
    100.44x = 18,140.72
  5. Step 5: Solve for x
    x = 18,140.72/100.44
  6. Step 6: Final answer
    x = 180.62

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.