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Finding the Third Proportional to 41,971.50 and 90,711

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Solution

The third proportional to 41,971.50 and 90,711 is: 196,049.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,971.50 : 90,711 = 90,711 : x
  2. Step 2: Convert to fraction form
    41,971.50/90,711 = 90,711/x
  3. Step 3: Cross multiply
    41,971.50x = 90,711 × 90,711
  4. Step 4: Simplify right side
    41,971.50x = 8,228,485,521
  5. Step 5: Solve for x
    x = 8,228,485,521/41,971.50
  6. Step 6: Final answer
    x = 196,049.36

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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.