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Finding the Third Proportional to 88,872 and 195,759

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Solution

The third proportional to 88,872 and 195,759 is: 431,199.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,872 : 195,759 = 195,759 : x
  2. Step 2: Convert to fraction form
    88,872/195,759 = 195,759/x
  3. Step 3: Cross multiply
    88,872x = 195,759 × 195,759
  4. Step 4: Simplify right side
    88,872x = 38,321,586,081
  5. Step 5: Solve for x
    x = 38,321,586,081/88,872
  6. Step 6: Final answer
    x = 431,199.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.