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Finding the Third Proportional to 47,917 and 100,796

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Solution

The third proportional to 47,917 and 100,796 is: 212,029.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,917 : 100,796 = 100,796 : x
  2. Step 2: Convert to fraction form
    47,917/100,796 = 100,796/x
  3. Step 3: Cross multiply
    47,917x = 100,796 × 100,796
  4. Step 4: Simplify right side
    47,917x = 10,159,833,616
  5. Step 5: Solve for x
    x = 10,159,833,616/47,917
  6. Step 6: Final answer
    x = 212,029.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.