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Finding the Third Proportional to 88,874 and 195,762

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Solution

The third proportional to 88,874 and 195,762 is: 431,203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,874 : 195,762 = 195,762 : x
  2. Step 2: Convert to fraction form
    88,874/195,762 = 195,762/x
  3. Step 3: Cross multiply
    88,874x = 195,762 × 195,762
  4. Step 4: Simplify right side
    88,874x = 38,322,760,644
  5. Step 5: Solve for x
    x = 38,322,760,644/88,874
  6. Step 6: Final answer
    x = 431,203.28

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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.