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Finding the Third Proportional to 72,671 and 156,811

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Solution

The third proportional to 72,671 and 156,811 is: 338,370.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,671 : 156,811 = 156,811 : x
  2. Step 2: Convert to fraction form
    72,671/156,811 = 156,811/x
  3. Step 3: Cross multiply
    72,671x = 156,811 × 156,811
  4. Step 4: Simplify right side
    72,671x = 24,589,689,721
  5. Step 5: Solve for x
    x = 24,589,689,721/72,671
  6. Step 6: Final answer
    x = 338,370.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.