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Finding the Third Proportional to 70,793.81 and 102,847.13

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Solution

The third proportional to 70,793.81 and 102,847.13 is: 149,413.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,793.81 : 102,847.13 = 102,847.13 : x
  2. Step 2: Convert to fraction form
    70,793.81/102,847.13 = 102,847.13/x
  3. Step 3: Cross multiply
    70,793.81x = 102,847.13 × 102,847.13
  4. Step 4: Simplify right side
    70,793.81x = 10,577,531,120.77
  5. Step 5: Solve for x
    x = 10,577,531,120.77/70,793.81
  6. Step 6: Final answer
    x = 149,413.21

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.