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Finding the Third Proportional to 79,737 and 171,762

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Solution

The third proportional to 79,737 and 171,762 is: 369,993.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,737 : 171,762 = 171,762 : x
  2. Step 2: Convert to fraction form
    79,737/171,762 = 171,762/x
  3. Step 3: Cross multiply
    79,737x = 171,762 × 171,762
  4. Step 4: Simplify right side
    79,737x = 29,502,184,644
  5. Step 5: Solve for x
    x = 29,502,184,644/79,737
  6. Step 6: Final answer
    x = 369,993.66

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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.