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Finding the Third Proportional to 41,975 and 91,334.50

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Solution

The third proportional to 41,975 and 91,334.50 is: 198,737.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,975 : 91,334.50 = 91,334.50 : x
  2. Step 2: Convert to fraction form
    41,975/91,334.50 = 91,334.50/x
  3. Step 3: Cross multiply
    41,975x = 91,334.50 × 91,334.50
  4. Step 4: Simplify right side
    41,975x = 8,341,990,890.25
  5. Step 5: Solve for x
    x = 8,341,990,890.25/41,975
  6. Step 6: Final answer
    x = 198,737.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.