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Finding the Third Proportional to 66.41 and 143.72

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Solution

The third proportional to 66.41 and 143.72 is: 311.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.41 : 143.72 = 143.72 : x
  2. Step 2: Convert to fraction form
    66.41/143.72 = 143.72/x
  3. Step 3: Cross multiply
    66.41x = 143.72 × 143.72
  4. Step 4: Simplify right side
    66.41x = 20,655.08
  5. Step 5: Solve for x
    x = 20,655.08/66.41
  6. Step 6: Final answer
    x = 311.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.