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Finding the Third Proportional to 108,756 and 169,398

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Solution

The third proportional to 108,756 and 169,398 is: 263,853.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,756 : 169,398 = 169,398 : x
  2. Step 2: Convert to fraction form
    108,756/169,398 = 169,398/x
  3. Step 3: Cross multiply
    108,756x = 169,398 × 169,398
  4. Step 4: Simplify right side
    108,756x = 28,695,682,404
  5. Step 5: Solve for x
    x = 28,695,682,404/108,756
  6. Step 6: Final answer
    x = 263,853.79

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.