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Finding the Third Proportional to 80,037 and 171,737

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Solution

The third proportional to 80,037 and 171,737 is: 368,499.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,037 : 171,737 = 171,737 : x
  2. Step 2: Convert to fraction form
    80,037/171,737 = 171,737/x
  3. Step 3: Cross multiply
    80,037x = 171,737 × 171,737
  4. Step 4: Simplify right side
    80,037x = 29,493,597,169
  5. Step 5: Solve for x
    x = 29,493,597,169/80,037
  6. Step 6: Final answer
    x = 368,499.53

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Why These Related Problems?

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