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Finding the Third Proportional to 67.63 and 104.47

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Solution

The third proportional to 67.63 and 104.47 is: 161.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.63 : 104.47 = 104.47 : x
  2. Step 2: Convert to fraction form
    67.63/104.47 = 104.47/x
  3. Step 3: Cross multiply
    67.63x = 104.47 × 104.47
  4. Step 4: Simplify right side
    67.63x = 10,914.69
  5. Step 5: Solve for x
    x = 10,914.69/67.63
  6. Step 6: Final answer
    x = 161.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.