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Finding the Third Proportional to 51.68 and 79.95

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Solution

The third proportional to 51.68 and 79.95 is: 123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.68 : 79.95 = 79.95 : x
  2. Step 2: Convert to fraction form
    51.68/79.95 = 79.95/x
  3. Step 3: Cross multiply
    51.68x = 79.95 × 79.95
  4. Step 4: Simplify right side
    51.68x = 6,391.25
  5. Step 5: Solve for x
    x = 6,391.25/51.68
  6. Step 6: Final answer
    x = 123.67

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