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Finding the Third Proportional to 87,862 and 192,452

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Solution

The third proportional to 87,862 and 192,452 is: 421,544.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,862 : 192,452 = 192,452 : x
  2. Step 2: Convert to fraction form
    87,862/192,452 = 192,452/x
  3. Step 3: Cross multiply
    87,862x = 192,452 × 192,452
  4. Step 4: Simplify right side
    87,862x = 37,037,772,304
  5. Step 5: Solve for x
    x = 37,037,772,304/87,862
  6. Step 6: Final answer
    x = 421,544.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.