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Finding the Third Proportional to 107,589 and 224,031

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Solution

The third proportional to 107,589 and 224,031 is: 466,496.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,589 : 224,031 = 224,031 : x
  2. Step 2: Convert to fraction form
    107,589/224,031 = 224,031/x
  3. Step 3: Cross multiply
    107,589x = 224,031 × 224,031
  4. Step 4: Simplify right side
    107,589x = 50,189,888,961
  5. Step 5: Solve for x
    x = 50,189,888,961/107,589
  6. Step 6: Final answer
    x = 466,496.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.