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Finding the Third Proportional to 108,936 and 171,188

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Solution

The third proportional to 108,936 and 171,188 is: 269,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,936 : 171,188 = 171,188 : x
  2. Step 2: Convert to fraction form
    108,936/171,188 = 171,188/x
  3. Step 3: Cross multiply
    108,936x = 171,188 × 171,188
  4. Step 4: Simplify right side
    108,936x = 29,305,331,344
  5. Step 5: Solve for x
    x = 29,305,331,344/108,936
  6. Step 6: Final answer
    x = 269,014.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.