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Finding the Third Proportional to 126,639.25 and 192,570

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Solution

The third proportional to 126,639.25 and 192,570 is: 292,825.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,639.25 : 192,570 = 192,570 : x
  2. Step 2: Convert to fraction form
    126,639.25/192,570 = 192,570/x
  3. Step 3: Cross multiply
    126,639.25x = 192,570 × 192,570
  4. Step 4: Simplify right side
    126,639.25x = 37,083,204,900
  5. Step 5: Solve for x
    x = 37,083,204,900/126,639.25
  6. Step 6: Final answer
    x = 292,825.53

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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.