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Finding the Third Proportional to 140,252 and 191,614

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Solution

The third proportional to 140,252 and 191,614 is: 261,785.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,252 : 191,614 = 191,614 : x
  2. Step 2: Convert to fraction form
    140,252/191,614 = 191,614/x
  3. Step 3: Cross multiply
    140,252x = 191,614 × 191,614
  4. Step 4: Simplify right side
    140,252x = 36,715,924,996
  5. Step 5: Solve for x
    x = 36,715,924,996/140,252
  6. Step 6: Final answer
    x = 261,785.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.