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Finding the Third Proportional to 107.02 and 166.36

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Solution

The third proportional to 107.02 and 166.36 is: 258.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.02 : 166.36 = 166.36 : x
  2. Step 2: Convert to fraction form
    107.02/166.36 = 166.36/x
  3. Step 3: Cross multiply
    107.02x = 166.36 × 166.36
  4. Step 4: Simplify right side
    107.02x = 27,675.44
  5. Step 5: Solve for x
    x = 27,675.44/107.02
  6. Step 6: Final answer
    x = 258.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.