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Finding the Third Proportional to 108,067.50 and 173,633.63

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Solution

The third proportional to 108,067.50 and 173,633.63 is: 278,979.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,067.50 : 173,633.63 = 173,633.63 : x
  2. Step 2: Convert to fraction form
    108,067.50/173,633.63 = 173,633.63/x
  3. Step 3: Cross multiply
    108,067.50x = 173,633.63 × 173,633.63
  4. Step 4: Simplify right side
    108,067.50x = 30,148,635,730.64
  5. Step 5: Solve for x
    x = 30,148,635,730.64/108,067.50
  6. Step 6: Final answer
    x = 278,979.67

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.