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Finding the Third Proportional to 47,671 and 102,793

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Solution

The third proportional to 47,671 and 102,793 is: 221,652.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,671 : 102,793 = 102,793 : x
  2. Step 2: Convert to fraction form
    47,671/102,793 = 102,793/x
  3. Step 3: Cross multiply
    47,671x = 102,793 × 102,793
  4. Step 4: Simplify right side
    47,671x = 10,566,400,849
  5. Step 5: Solve for x
    x = 10,566,400,849/47,671
  6. Step 6: Final answer
    x = 221,652.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.