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Finding the Third Proportional to 106.92 and 164.91

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Solution

The third proportional to 106.92 and 164.91 is: 254.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.92 : 164.91 = 164.91 : x
  2. Step 2: Convert to fraction form
    106.92/164.91 = 164.91/x
  3. Step 3: Cross multiply
    106.92x = 164.91 × 164.91
  4. Step 4: Simplify right side
    106.92x = 27,194.07
  5. Step 5: Solve for x
    x = 27,194.07/106.92
  6. Step 6: Final answer
    x = 254.34

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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.