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Finding the Third Proportional to 108,882 and 171,108

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Solution

The third proportional to 108,882 and 171,108 is: 268,896.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,882 : 171,108 = 171,108 : x
  2. Step 2: Convert to fraction form
    108,882/171,108 = 171,108/x
  3. Step 3: Cross multiply
    108,882x = 171,108 × 171,108
  4. Step 4: Simplify right side
    108,882x = 29,277,947,664
  5. Step 5: Solve for x
    x = 29,277,947,664/108,882
  6. Step 6: Final answer
    x = 268,896.12

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