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Finding the Third Proportional to 124.03 and 191.67

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Solution

The third proportional to 124.03 and 191.67 is: 296.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.03 : 191.67 = 191.67 : x
  2. Step 2: Convert to fraction form
    124.03/191.67 = 191.67/x
  3. Step 3: Cross multiply
    124.03x = 191.67 × 191.67
  4. Step 4: Simplify right side
    124.03x = 36,738.11
  5. Step 5: Solve for x
    x = 36,738.11/124.03
  6. Step 6: Final answer
    x = 296.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.