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Finding the Third Proportional to 66.21 and 140.43

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Solution

The third proportional to 66.21 and 140.43 is: 297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.21 : 140.43 = 140.43 : x
  2. Step 2: Convert to fraction form
    66.21/140.43 = 140.43/x
  3. Step 3: Cross multiply
    66.21x = 140.43 × 140.43
  4. Step 4: Simplify right side
    66.21x = 19,719.19
  5. Step 5: Solve for x
    x = 19,719.19/66.21
  6. Step 6: Final answer
    x = 297.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.