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Finding the Third Proportional to 51.75 and 78.66

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Solution

The third proportional to 51.75 and 78.66 is: 119.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.75 : 78.66 = 78.66 : x
  2. Step 2: Convert to fraction form
    51.75/78.66 = 78.66/x
  3. Step 3: Cross multiply
    51.75x = 78.66 × 78.66
  4. Step 4: Simplify right side
    51.75x = 6,186.81
  5. Step 5: Solve for x
    x = 6,186.81/51.75
  6. Step 6: Final answer
    x = 119.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.