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Finding the Third Proportional to 79.53 and 121.66

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Solution

The third proportional to 79.53 and 121.66 is: 186.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.53 : 121.66 = 121.66 : x
  2. Step 2: Convert to fraction form
    79.53/121.66 = 121.66/x
  3. Step 3: Cross multiply
    79.53x = 121.66 × 121.66
  4. Step 4: Simplify right side
    79.53x = 14,800.24
  5. Step 5: Solve for x
    x = 14,800.24/79.53
  6. Step 6: Final answer
    x = 186.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.