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Finding the Third Proportional to 87,544 and 170,714

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Solution

The third proportional to 87,544 and 170,714 is: 332,898.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,544 : 170,714 = 170,714 : x
  2. Step 2: Convert to fraction form
    87,544/170,714 = 170,714/x
  3. Step 3: Cross multiply
    87,544x = 170,714 × 170,714
  4. Step 4: Simplify right side
    87,544x = 29,143,269,796
  5. Step 5: Solve for x
    x = 29,143,269,796/87,544
  6. Step 6: Final answer
    x = 332,898.54

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.