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Finding the Third Proportional to 108,881 and 171,098

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Solution

The third proportional to 108,881 and 171,098 is: 268,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,881 : 171,098 = 171,098 : x
  2. Step 2: Convert to fraction form
    108,881/171,098 = 171,098/x
  3. Step 3: Cross multiply
    108,881x = 171,098 × 171,098
  4. Step 4: Simplify right side
    108,881x = 29,274,525,604
  5. Step 5: Solve for x
    x = 29,274,525,604/108,881
  6. Step 6: Final answer
    x = 268,867.16

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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.