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Finding the Third Proportional to 124.88 and 166.38

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Solution

The third proportional to 124.88 and 166.38 is: 221.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.88 : 166.38 = 166.38 : x
  2. Step 2: Convert to fraction form
    124.88/166.38 = 166.38/x
  3. Step 3: Cross multiply
    124.88x = 166.38 × 166.38
  4. Step 4: Simplify right side
    124.88x = 27,680.64
  5. Step 5: Solve for x
    x = 27,680.64/124.88
  6. Step 6: Final answer
    x = 221.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.