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Finding the Third Proportional to 122,696 and 173,992

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Solution

The third proportional to 122,696 and 173,992 is: 246,733.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,696 : 173,992 = 173,992 : x
  2. Step 2: Convert to fraction form
    122,696/173,992 = 173,992/x
  3. Step 3: Cross multiply
    122,696x = 173,992 × 173,992
  4. Step 4: Simplify right side
    122,696x = 30,273,216,064
  5. Step 5: Solve for x
    x = 30,273,216,064/122,696
  6. Step 6: Final answer
    x = 246,733.52

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.