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Finding the Third Proportional to 141,498 and 192,267

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Solution

The third proportional to 141,498 and 192,267 is: 261,251.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,498 : 192,267 = 192,267 : x
  2. Step 2: Convert to fraction form
    141,498/192,267 = 192,267/x
  3. Step 3: Cross multiply
    141,498x = 192,267 × 192,267
  4. Step 4: Simplify right side
    141,498x = 36,966,599,289
  5. Step 5: Solve for x
    x = 36,966,599,289/141,498
  6. Step 6: Final answer
    x = 261,251.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.