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Finding the Third Proportional to 71.82 and 107.26

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Solution

The third proportional to 71.82 and 107.26 is: 160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.82 : 107.26 = 107.26 : x
  2. Step 2: Convert to fraction form
    71.82/107.26 = 107.26/x
  3. Step 3: Cross multiply
    71.82x = 107.26 × 107.26
  4. Step 4: Simplify right side
    71.82x = 11,505.08
  5. Step 5: Solve for x
    x = 11,505.08/71.82
  6. Step 6: Final answer
    x = 160.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.