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Finding the Third Proportional to 124,542 and 198,267

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Solution

The third proportional to 124,542 and 198,267 is: 315,634.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,542 : 198,267 = 198,267 : x
  2. Step 2: Convert to fraction form
    124,542/198,267 = 198,267/x
  3. Step 3: Cross multiply
    124,542x = 198,267 × 198,267
  4. Step 4: Simplify right side
    124,542x = 39,309,803,289
  5. Step 5: Solve for x
    x = 39,309,803,289/124,542
  6. Step 6: Final answer
    x = 315,634.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.