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Finding the Third Proportional to 118,992 and 158,638

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Solution

The third proportional to 118,992 and 158,638 is: 211,493.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,992 : 158,638 = 158,638 : x
  2. Step 2: Convert to fraction form
    118,992/158,638 = 158,638/x
  3. Step 3: Cross multiply
    118,992x = 158,638 × 158,638
  4. Step 4: Simplify right side
    118,992x = 25,166,015,044
  5. Step 5: Solve for x
    x = 25,166,015,044/118,992
  6. Step 6: Final answer
    x = 211,493.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.