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Finding the Third Proportional to 66.23 and 118.13

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Solution

The third proportional to 66.23 and 118.13 is: 210.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.23 : 118.13 = 118.13 : x
  2. Step 2: Convert to fraction form
    66.23/118.13 = 118.13/x
  3. Step 3: Cross multiply
    66.23x = 118.13 × 118.13
  4. Step 4: Simplify right side
    66.23x = 13,953.52
  5. Step 5: Solve for x
    x = 13,953.52/66.23
  6. Step 6: Final answer
    x = 210.67

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.