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Finding the Third Proportional to 121.75 and 237.88

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Solution

The third proportional to 121.75 and 237.88 is: 464.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.75 : 237.88 = 237.88 : x
  2. Step 2: Convert to fraction form
    121.75/237.88 = 237.88/x
  3. Step 3: Cross multiply
    121.75x = 237.88 × 237.88
  4. Step 4: Simplify right side
    121.75x = 56,584.52
  5. Step 5: Solve for x
    x = 56,584.52/121.75
  6. Step 6: Final answer
    x = 464.76

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.