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Finding the Third Proportional to 122,583 and 190,593

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Solution

The third proportional to 122,583 and 190,593 is: 296,335.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,583 : 190,593 = 190,593 : x
  2. Step 2: Convert to fraction form
    122,583/190,593 = 190,593/x
  3. Step 3: Cross multiply
    122,583x = 190,593 × 190,593
  4. Step 4: Simplify right side
    122,583x = 36,325,691,649
  5. Step 5: Solve for x
    x = 36,325,691,649/122,583
  6. Step 6: Final answer
    x = 296,335.48

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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.