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Finding the Third Proportional to 106.31 and 165.16

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Solution

The third proportional to 106.31 and 165.16 is: 256.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.31 : 165.16 = 165.16 : x
  2. Step 2: Convert to fraction form
    106.31/165.16 = 165.16/x
  3. Step 3: Cross multiply
    106.31x = 165.16 × 165.16
  4. Step 4: Simplify right side
    106.31x = 27,279.17
  5. Step 5: Solve for x
    x = 27,279.17/106.31
  6. Step 6: Final answer
    x = 256.59

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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.