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Finding the Third Proportional to 107,624 and 220,000

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Solution

The third proportional to 107,624 and 220,000 is: 449,713.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,624 : 220,000 = 220,000 : x
  2. Step 2: Convert to fraction form
    107,624/220,000 = 220,000/x
  3. Step 3: Cross multiply
    107,624x = 220,000 × 220,000
  4. Step 4: Simplify right side
    107,624x = 48,400,000,000
  5. Step 5: Solve for x
    x = 48,400,000,000/107,624
  6. Step 6: Final answer
    x = 449,713.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.