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Finding the Third Proportional to 122,799 and 190,193

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Solution

The third proportional to 122,799 and 190,193 is: 294,573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,799 : 190,193 = 190,193 : x
  2. Step 2: Convert to fraction form
    122,799/190,193 = 190,193/x
  3. Step 3: Cross multiply
    122,799x = 190,193 × 190,193
  4. Step 4: Simplify right side
    122,799x = 36,173,377,249
  5. Step 5: Solve for x
    x = 36,173,377,249/122,799
  6. Step 6: Final answer
    x = 294,573.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.