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Finding the Third Proportional to 42,704 and 64,193

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Solution

The third proportional to 42,704 and 64,193 is: 96,495.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,704 : 64,193 = 64,193 : x
  2. Step 2: Convert to fraction form
    42,704/64,193 = 64,193/x
  3. Step 3: Cross multiply
    42,704x = 64,193 × 64,193
  4. Step 4: Simplify right side
    42,704x = 4,120,741,249
  5. Step 5: Solve for x
    x = 4,120,741,249/42,704
  6. Step 6: Final answer
    x = 96,495.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.