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Finding the Third Proportional to 66.21 and 100.38

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Solution

The third proportional to 66.21 and 100.38 is: 152.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.21 : 100.38 = 100.38 : x
  2. Step 2: Convert to fraction form
    66.21/100.38 = 100.38/x
  3. Step 3: Cross multiply
    66.21x = 100.38 × 100.38
  4. Step 4: Simplify right side
    66.21x = 10,076.12
  5. Step 5: Solve for x
    x = 10,076.12/66.21
  6. Step 6: Final answer
    x = 152.19

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.