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Finding the Third Proportional to 123.26 and 192.90

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Solution

The third proportional to 123.26 and 192.90 is: 301.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.26 : 192.90 = 192.90 : x
  2. Step 2: Convert to fraction form
    123.26/192.90 = 192.90/x
  3. Step 3: Cross multiply
    123.26x = 192.90 × 192.90
  4. Step 4: Simplify right side
    123.26x = 37,211.31
  5. Step 5: Solve for x
    x = 37,211.31/123.26
  6. Step 6: Final answer
    x = 301.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.