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Finding the Third Proportional to 67.13 and 107.63

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Solution

The third proportional to 67.13 and 107.63 is: 172.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.13 : 107.63 = 107.63 : x
  2. Step 2: Convert to fraction form
    67.13/107.63 = 107.63/x
  3. Step 3: Cross multiply
    67.13x = 107.63 × 107.63
  4. Step 4: Simplify right side
    67.13x = 11,583.14
  5. Step 5: Solve for x
    x = 11,583.14/67.13
  6. Step 6: Final answer
    x = 172.56

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.