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Finding the Third Proportional to 123 and 167.63

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Solution

The third proportional to 123 and 167.63 is: 228.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    123 : 167.63 = 167.63 : x
  2. Step 2: Convert to fraction form
    123/167.63 = 167.63/x
  3. Step 3: Cross multiply
    123x = 167.63 × 167.63
  4. Step 4: Simplify right side
    123x = 28,098.14
  5. Step 5: Solve for x
    x = 28,098.14/123
  6. Step 6: Final answer
    x = 228.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.