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Finding the Third Proportional to 67.69 and 114.28

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Solution

The third proportional to 67.69 and 114.28 is: 192.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.69 : 114.28 = 114.28 : x
  2. Step 2: Convert to fraction form
    67.69/114.28 = 114.28/x
  3. Step 3: Cross multiply
    67.69x = 114.28 × 114.28
  4. Step 4: Simplify right side
    67.69x = 13,060.20
  5. Step 5: Solve for x
    x = 13,060.20/67.69
  6. Step 6: Final answer
    x = 192.95

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.