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Finding the Third Proportional to 66.21 and 142.03

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Solution

The third proportional to 66.21 and 142.03 is: 304.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.21 : 142.03 = 142.03 : x
  2. Step 2: Convert to fraction form
    66.21/142.03 = 142.03/x
  3. Step 3: Cross multiply
    66.21x = 142.03 × 142.03
  4. Step 4: Simplify right side
    66.21x = 20,171.63
  5. Step 5: Solve for x
    x = 20,171.63/66.21
  6. Step 6: Final answer
    x = 304.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.