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Finding the Third Proportional to 87,977 and 195,582

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Solution

The third proportional to 87,977 and 195,582 is: 434,799.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,977 : 195,582 = 195,582 : x
  2. Step 2: Convert to fraction form
    87,977/195,582 = 195,582/x
  3. Step 3: Cross multiply
    87,977x = 195,582 × 195,582
  4. Step 4: Simplify right side
    87,977x = 38,252,318,724
  5. Step 5: Solve for x
    x = 38,252,318,724/87,977
  6. Step 6: Final answer
    x = 434,799.08

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.