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Finding the Third Proportional to 41,705 and 91,711

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Solution

The third proportional to 41,705 and 91,711 is: 201,676.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,705 : 91,711 = 91,711 : x
  2. Step 2: Convert to fraction form
    41,705/91,711 = 91,711/x
  3. Step 3: Cross multiply
    41,705x = 91,711 × 91,711
  4. Step 4: Simplify right side
    41,705x = 8,410,907,521
  5. Step 5: Solve for x
    x = 8,410,907,521/41,705
  6. Step 6: Final answer
    x = 201,676.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.