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Finding the Third Proportional to 141,500 and 192,270

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Solution

The third proportional to 141,500 and 192,270 is: 261,256.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,500 : 192,270 = 192,270 : x
  2. Step 2: Convert to fraction form
    141,500/192,270 = 192,270/x
  3. Step 3: Cross multiply
    141,500x = 192,270 × 192,270
  4. Step 4: Simplify right side
    141,500x = 36,967,752,900
  5. Step 5: Solve for x
    x = 36,967,752,900/141,500
  6. Step 6: Final answer
    x = 261,256.20

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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.