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Finding the Third Proportional to 126.56 and 192.38

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Solution

The third proportional to 126.56 and 192.38 is: 292.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.56 : 192.38 = 192.38 : x
  2. Step 2: Convert to fraction form
    126.56/192.38 = 192.38/x
  3. Step 3: Cross multiply
    126.56x = 192.38 × 192.38
  4. Step 4: Simplify right side
    126.56x = 37,008.14
  5. Step 5: Solve for x
    x = 37,008.14/126.56
  6. Step 6: Final answer
    x = 292.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.