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Finding the Third Proportional to 67,193 and 139,912

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Solution

The third proportional to 67,193 and 139,912 is: 291,330.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,193 : 139,912 = 139,912 : x
  2. Step 2: Convert to fraction form
    67,193/139,912 = 139,912/x
  3. Step 3: Cross multiply
    67,193x = 139,912 × 139,912
  4. Step 4: Simplify right side
    67,193x = 19,575,367,744
  5. Step 5: Solve for x
    x = 19,575,367,744/67,193
  6. Step 6: Final answer
    x = 291,330.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.