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Finding the Third Proportional to 75.80 and 121.78

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Solution

The third proportional to 75.80 and 121.78 is: 195.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.80 : 121.78 = 121.78 : x
  2. Step 2: Convert to fraction form
    75.80/121.78 = 121.78/x
  3. Step 3: Cross multiply
    75.80x = 121.78 × 121.78
  4. Step 4: Simplify right side
    75.80x = 14,830.67
  5. Step 5: Solve for x
    x = 14,830.67/75.80
  6. Step 6: Final answer
    x = 195.66

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.