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Finding the Third Proportional to 81,761.91 and 119,950.88

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Solution

The third proportional to 81,761.91 and 119,950.88 is: 175,976.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,761.91 : 119,950.88 = 119,950.88 : x
  2. Step 2: Convert to fraction form
    81,761.91/119,950.88 = 119,950.88/x
  3. Step 3: Cross multiply
    81,761.91x = 119,950.88 × 119,950.88
  4. Step 4: Simplify right side
    81,761.91x = 14,388,212,413.27
  5. Step 5: Solve for x
    x = 14,388,212,413.27/81,761.91
  6. Step 6: Final answer
    x = 175,976.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.