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Finding the Third Proportional to 140,114 and 192,671

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Solution

The third proportional to 140,114 and 192,671 is: 264,942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,114 : 192,671 = 192,671 : x
  2. Step 2: Convert to fraction form
    140,114/192,671 = 192,671/x
  3. Step 3: Cross multiply
    140,114x = 192,671 × 192,671
  4. Step 4: Simplify right side
    140,114x = 37,122,114,241
  5. Step 5: Solve for x
    x = 37,122,114,241/140,114
  6. Step 6: Final answer
    x = 264,942.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.