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Finding the Third Proportional to 67.48 and 107.42

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Solution

The third proportional to 67.48 and 107.42 is: 171.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.48 : 107.42 = 107.42 : x
  2. Step 2: Convert to fraction form
    67.48/107.42 = 107.42/x
  3. Step 3: Cross multiply
    67.48x = 107.42 × 107.42
  4. Step 4: Simplify right side
    67.48x = 11,539.31
  5. Step 5: Solve for x
    x = 11,539.31/67.48
  6. Step 6: Final answer
    x = 171.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.