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Finding the Third Proportional to 126.94 and 192.19

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Solution

The third proportional to 126.94 and 192.19 is: 290.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.94 : 192.19 = 192.19 : x
  2. Step 2: Convert to fraction form
    126.94/192.19 = 192.19/x
  3. Step 3: Cross multiply
    126.94x = 192.19 × 192.19
  4. Step 4: Simplify right side
    126.94x = 36,936.04
  5. Step 5: Solve for x
    x = 36,936.04/126.94
  6. Step 6: Final answer
    x = 290.98

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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.