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Finding the Third Proportional to 66.13 and 136.38

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Solution

The third proportional to 66.13 and 136.38 is: 281.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.13 : 136.38 = 136.38 : x
  2. Step 2: Convert to fraction form
    66.13/136.38 = 136.38/x
  3. Step 3: Cross multiply
    66.13x = 136.38 × 136.38
  4. Step 4: Simplify right side
    66.13x = 18,598.14
  5. Step 5: Solve for x
    x = 18,598.14/66.13
  6. Step 6: Final answer
    x = 281.26

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.