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Finding the Third Proportional to 105,584 and 219,874

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Solution

The third proportional to 105,584 and 219,874 is: 457,877.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,584 : 219,874 = 219,874 : x
  2. Step 2: Convert to fraction form
    105,584/219,874 = 219,874/x
  3. Step 3: Cross multiply
    105,584x = 219,874 × 219,874
  4. Step 4: Simplify right side
    105,584x = 48,344,575,876
  5. Step 5: Solve for x
    x = 48,344,575,876/105,584
  6. Step 6: Final answer
    x = 457,877.86

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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.