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Finding the Third Proportional to 107,714 and 220,652

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Solution

The third proportional to 107,714 and 220,652 is: 452,005.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,714 : 220,652 = 220,652 : x
  2. Step 2: Convert to fraction form
    107,714/220,652 = 220,652/x
  3. Step 3: Cross multiply
    107,714x = 220,652 × 220,652
  4. Step 4: Simplify right side
    107,714x = 48,687,305,104
  5. Step 5: Solve for x
    x = 48,687,305,104/107,714
  6. Step 6: Final answer
    x = 452,005.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.