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Finding the Third Proportional to 72,997.50 and 156,905.25

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Solution

The third proportional to 72,997.50 and 156,905.25 is: 337,261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,997.50 : 156,905.25 = 156,905.25 : x
  2. Step 2: Convert to fraction form
    72,997.50/156,905.25 = 156,905.25/x
  3. Step 3: Cross multiply
    72,997.50x = 156,905.25 × 156,905.25
  4. Step 4: Simplify right side
    72,997.50x = 24,619,257,477.56
  5. Step 5: Solve for x
    x = 24,619,257,477.56/72,997.50
  6. Step 6: Final answer
    x = 337,261.65

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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.