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Finding the Third Proportional to 80,113.50 and 125,669.25

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Solution

The third proportional to 80,113.50 and 125,669.25 is: 197,129.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,113.50 : 125,669.25 = 125,669.25 : x
  2. Step 2: Convert to fraction form
    80,113.50/125,669.25 = 125,669.25/x
  3. Step 3: Cross multiply
    80,113.50x = 125,669.25 × 125,669.25
  4. Step 4: Simplify right side
    80,113.50x = 15,792,760,395.56
  5. Step 5: Solve for x
    x = 15,792,760,395.56/80,113.50
  6. Step 6: Final answer
    x = 197,129.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.