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Finding the Third Proportional to 73,014 and 156,947.25

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Solution

The third proportional to 73,014 and 156,947.25 is: 337,365.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,014 : 156,947.25 = 156,947.25 : x
  2. Step 2: Convert to fraction form
    73,014/156,947.25 = 156,947.25/x
  3. Step 3: Cross multiply
    73,014x = 156,947.25 × 156,947.25
  4. Step 4: Simplify right side
    73,014x = 24,632,439,282.56
  5. Step 5: Solve for x
    x = 24,632,439,282.56/73,014
  6. Step 6: Final answer
    x = 337,365.97

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