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Finding the Third Proportional to 126.47 and 192.33

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Solution

The third proportional to 126.47 and 192.33 is: 292.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.47 : 192.33 = 192.33 : x
  2. Step 2: Convert to fraction form
    126.47/192.33 = 192.33/x
  3. Step 3: Cross multiply
    126.47x = 192.33 × 192.33
  4. Step 4: Simplify right side
    126.47x = 36,990.11
  5. Step 5: Solve for x
    x = 36,990.11/126.47
  6. Step 6: Final answer
    x = 292.48

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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.