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Finding the Third Proportional to 79,936 and 171,536

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Solution

The third proportional to 79,936 and 171,536 is: 368,101.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,936 : 171,536 = 171,536 : x
  2. Step 2: Convert to fraction form
    79,936/171,536 = 171,536/x
  3. Step 3: Cross multiply
    79,936x = 171,536 × 171,536
  4. Step 4: Simplify right side
    79,936x = 29,424,599,296
  5. Step 5: Solve for x
    x = 29,424,599,296/79,936
  6. Step 6: Final answer
    x = 368,101.97

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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.