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Finding the Third Proportional to 72,957 and 156,812

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Solution

The third proportional to 72,957 and 156,812 is: 337,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,957 : 156,812 = 156,812 : x
  2. Step 2: Convert to fraction form
    72,957/156,812 = 156,812/x
  3. Step 3: Cross multiply
    72,957x = 156,812 × 156,812
  4. Step 4: Simplify right side
    72,957x = 24,590,003,344
  5. Step 5: Solve for x
    x = 24,590,003,344/72,957
  6. Step 6: Final answer
    x = 337,047.90

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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.