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Finding the Third Proportional to 42,449.50 and 91,163

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Solution

The third proportional to 42,449.50 and 91,163 is: 195,778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,449.50 : 91,163 = 91,163 : x
  2. Step 2: Convert to fraction form
    42,449.50/91,163 = 91,163/x
  3. Step 3: Cross multiply
    42,449.50x = 91,163 × 91,163
  4. Step 4: Simplify right side
    42,449.50x = 8,310,692,569
  5. Step 5: Solve for x
    x = 8,310,692,569/42,449.50
  6. Step 6: Final answer
    x = 195,778.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.