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Finding the Third Proportional to 80,890.31 and 122,466.94

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Solution

The third proportional to 80,890.31 and 122,466.94 is: 185,413.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,890.31 : 122,466.94 = 122,466.94 : x
  2. Step 2: Convert to fraction form
    80,890.31/122,466.94 = 122,466.94/x
  3. Step 3: Cross multiply
    80,890.31x = 122,466.94 × 122,466.94
  4. Step 4: Simplify right side
    80,890.31x = 14,998,150,780.63
  5. Step 5: Solve for x
    x = 14,998,150,780.63/80,890.31
  6. Step 6: Final answer
    x = 185,413.44

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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.