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Finding the Third Proportional to 47,877 and 102,863

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Solution

The third proportional to 47,877 and 102,863 is: 220,999.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,877 : 102,863 = 102,863 : x
  2. Step 2: Convert to fraction form
    47,877/102,863 = 102,863/x
  3. Step 3: Cross multiply
    47,877x = 102,863 × 102,863
  4. Step 4: Simplify right side
    47,877x = 10,580,796,769
  5. Step 5: Solve for x
    x = 10,580,796,769/47,877
  6. Step 6: Final answer
    x = 220,999.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.