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Finding the Third Proportional to 60.69 and 128.22

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Solution

The third proportional to 60.69 and 128.22 is: 270.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.69 : 128.22 = 128.22 : x
  2. Step 2: Convert to fraction form
    60.69/128.22 = 128.22/x
  3. Step 3: Cross multiply
    60.69x = 128.22 × 128.22
  4. Step 4: Simplify right side
    60.69x = 16,440.05
  5. Step 5: Solve for x
    x = 16,440.05/60.69
  6. Step 6: Final answer
    x = 270.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.