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Finding the Third Proportional to 47,862 and 104,793

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Solution

The third proportional to 47,862 and 104,793 is: 229,442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,862 : 104,793 = 104,793 : x
  2. Step 2: Convert to fraction form
    47,862/104,793 = 104,793/x
  3. Step 3: Cross multiply
    47,862x = 104,793 × 104,793
  4. Step 4: Simplify right side
    47,862x = 10,981,572,849
  5. Step 5: Solve for x
    x = 10,981,572,849/47,862
  6. Step 6: Final answer
    x = 229,442.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.