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Finding the Third Proportional to 106.31 and 160.42

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Solution

The third proportional to 106.31 and 160.42 is: 242.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.31 : 160.42 = 160.42 : x
  2. Step 2: Convert to fraction form
    106.31/160.42 = 160.42/x
  3. Step 3: Cross multiply
    106.31x = 160.42 × 160.42
  4. Step 4: Simplify right side
    106.31x = 25,733.92
  5. Step 5: Solve for x
    x = 25,733.92/106.31
  6. Step 6: Final answer
    x = 242.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.