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Finding the Third Proportional to 122,796 and 196,992

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Solution

The third proportional to 122,796 and 196,992 is: 316,018.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,796 : 196,992 = 196,992 : x
  2. Step 2: Convert to fraction form
    122,796/196,992 = 196,992/x
  3. Step 3: Cross multiply
    122,796x = 196,992 × 196,992
  4. Step 4: Simplify right side
    122,796x = 38,805,848,064
  5. Step 5: Solve for x
    x = 38,805,848,064/122,796
  6. Step 6: Final answer
    x = 316,018.83

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.