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Finding the Third Proportional to 141,517 and 192,295

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Solution

The third proportional to 141,517 and 192,295 is: 261,292.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,517 : 192,295 = 192,295 : x
  2. Step 2: Convert to fraction form
    141,517/192,295 = 192,295/x
  3. Step 3: Cross multiply
    141,517x = 192,295 × 192,295
  4. Step 4: Simplify right side
    141,517x = 36,977,367,025
  5. Step 5: Solve for x
    x = 36,977,367,025/141,517
  6. Step 6: Final answer
    x = 261,292.76

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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.