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Finding the Third Proportional to 122,766 and 185,809

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Solution

The third proportional to 122,766 and 185,809 is: 281,225.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,766 : 185,809 = 185,809 : x
  2. Step 2: Convert to fraction form
    122,766/185,809 = 185,809/x
  3. Step 3: Cross multiply
    122,766x = 185,809 × 185,809
  4. Step 4: Simplify right side
    122,766x = 34,524,984,481
  5. Step 5: Solve for x
    x = 34,524,984,481/122,766
  6. Step 6: Final answer
    x = 281,225.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.