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Finding the Third Proportional to 108,786.50 and 168,799

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Solution

The third proportional to 108,786.50 and 168,799 is: 261,917.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,786.50 : 168,799 = 168,799 : x
  2. Step 2: Convert to fraction form
    108,786.50/168,799 = 168,799/x
  3. Step 3: Cross multiply
    108,786.50x = 168,799 × 168,799
  4. Step 4: Simplify right side
    108,786.50x = 28,493,102,401
  5. Step 5: Solve for x
    x = 28,493,102,401/108,786.50
  6. Step 6: Final answer
    x = 261,917.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.