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Finding the Third Proportional to 106.31 and 156.94

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Solution

The third proportional to 106.31 and 156.94 is: 231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.31 : 156.94 = 156.94 : x
  2. Step 2: Convert to fraction form
    106.31/156.94 = 156.94/x
  3. Step 3: Cross multiply
    106.31x = 156.94 × 156.94
  4. Step 4: Simplify right side
    106.31x = 24,629.38
  5. Step 5: Solve for x
    x = 24,629.38/106.31
  6. Step 6: Final answer
    x = 231.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.