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Finding the Third Proportional to 72,697 and 156,530

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Solution

The third proportional to 72,697 and 156,530 is: 337,037.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,697 : 156,530 = 156,530 : x
  2. Step 2: Convert to fraction form
    72,697/156,530 = 156,530/x
  3. Step 3: Cross multiply
    72,697x = 156,530 × 156,530
  4. Step 4: Simplify right side
    72,697x = 24,501,640,900
  5. Step 5: Solve for x
    x = 24,501,640,900/72,697
  6. Step 6: Final answer
    x = 337,037.85

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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.