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Finding the Third Proportional to 108,876.50 and 171,091.50

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Solution

The third proportional to 108,876.50 and 171,091.50 is: 268,857.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,876.50 : 171,091.50 = 171,091.50 : x
  2. Step 2: Convert to fraction form
    108,876.50/171,091.50 = 171,091.50/x
  3. Step 3: Cross multiply
    108,876.50x = 171,091.50 × 171,091.50
  4. Step 4: Simplify right side
    108,876.50x = 29,272,301,372.25
  5. Step 5: Solve for x
    x = 29,272,301,372.25/108,876.50
  6. Step 6: Final answer
    x = 268,857.85

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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.