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Finding the Third Proportional to 79,305 and 171,675

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Solution

The third proportional to 79,305 and 171,675 is: 371,632.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,305 : 171,675 = 171,675 : x
  2. Step 2: Convert to fraction form
    79,305/171,675 = 171,675/x
  3. Step 3: Cross multiply
    79,305x = 171,675 × 171,675
  4. Step 4: Simplify right side
    79,305x = 29,472,305,625
  5. Step 5: Solve for x
    x = 29,472,305,625/79,305
  6. Step 6: Final answer
    x = 371,632.38

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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.