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Finding the Third Proportional to 66.94 and 100.09

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Solution

The third proportional to 66.94 and 100.09 is: 149.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.94 : 100.09 = 100.09 : x
  2. Step 2: Convert to fraction form
    66.94/100.09 = 100.09/x
  3. Step 3: Cross multiply
    66.94x = 100.09 × 100.09
  4. Step 4: Simplify right side
    66.94x = 10,018.76
  5. Step 5: Solve for x
    x = 10,018.76/66.94
  6. Step 6: Final answer
    x = 149.67

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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.