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Finding the Third Proportional to 92,591 and 140,187

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Solution

The third proportional to 92,591 and 140,187 is: 212,249.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,591 : 140,187 = 140,187 : x
  2. Step 2: Convert to fraction form
    92,591/140,187 = 140,187/x
  3. Step 3: Cross multiply
    92,591x = 140,187 × 140,187
  4. Step 4: Simplify right side
    92,591x = 19,652,394,969
  5. Step 5: Solve for x
    x = 19,652,394,969/92,591
  6. Step 6: Final answer
    x = 212,249.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.