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Finding the Third Proportional to 66.66 and 94.22

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Solution

The third proportional to 66.66 and 94.22 is: 133.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.66 : 94.22 = 94.22 : x
  2. Step 2: Convert to fraction form
    66.66/94.22 = 94.22/x
  3. Step 3: Cross multiply
    66.66x = 94.22 × 94.22
  4. Step 4: Simplify right side
    66.66x = 8,877.17
  5. Step 5: Solve for x
    x = 8,877.17/66.66
  6. Step 6: Final answer
    x = 133.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.