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Finding the Third Proportional to 87,568 and 195,548

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Solution

The third proportional to 87,568 and 195,548 is: 436,678.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,568 : 195,548 = 195,548 : x
  2. Step 2: Convert to fraction form
    87,568/195,548 = 195,548/x
  3. Step 3: Cross multiply
    87,568x = 195,548 × 195,548
  4. Step 4: Simplify right side
    87,568x = 38,239,020,304
  5. Step 5: Solve for x
    x = 38,239,020,304/87,568
  6. Step 6: Final answer
    x = 436,678.01

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.