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Finding the Third Proportional to 40,144.50 and 62,163

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Solution

The third proportional to 40,144.50 and 62,163 is: 96,258.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,144.50 : 62,163 = 62,163 : x
  2. Step 2: Convert to fraction form
    40,144.50/62,163 = 62,163/x
  3. Step 3: Cross multiply
    40,144.50x = 62,163 × 62,163
  4. Step 4: Simplify right side
    40,144.50x = 3,864,238,569
  5. Step 5: Solve for x
    x = 3,864,238,569/40,144.50
  6. Step 6: Final answer
    x = 96,258.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.