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Finding the Third Proportional to 49,217 and 104,878

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Solution

The third proportional to 49,217 and 104,878 is: 223,487.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,217 : 104,878 = 104,878 : x
  2. Step 2: Convert to fraction form
    49,217/104,878 = 104,878/x
  3. Step 3: Cross multiply
    49,217x = 104,878 × 104,878
  4. Step 4: Simplify right side
    49,217x = 10,999,394,884
  5. Step 5: Solve for x
    x = 10,999,394,884/49,217
  6. Step 6: Final answer
    x = 223,487.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.