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Finding the Third Proportional to 108,884 and 171,102

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Solution

The third proportional to 108,884 and 171,102 is: 268,872.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,884 : 171,102 = 171,102 : x
  2. Step 2: Convert to fraction form
    108,884/171,102 = 171,102/x
  3. Step 3: Cross multiply
    108,884x = 171,102 × 171,102
  4. Step 4: Simplify right side
    108,884x = 29,275,894,404
  5. Step 5: Solve for x
    x = 29,275,894,404/108,884
  6. Step 6: Final answer
    x = 268,872.33

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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.