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Finding the Third Proportional to 52,157 and 106,793

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Solution

The third proportional to 52,157 and 106,793 is: 218,661.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,157 : 106,793 = 106,793 : x
  2. Step 2: Convert to fraction form
    52,157/106,793 = 106,793/x
  3. Step 3: Cross multiply
    52,157x = 106,793 × 106,793
  4. Step 4: Simplify right side
    52,157x = 11,404,744,849
  5. Step 5: Solve for x
    x = 11,404,744,849/52,157
  6. Step 6: Final answer
    x = 218,661.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.