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Finding the Third Proportional to 51,166.69 and 81,989.72

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Solution

The third proportional to 51,166.69 and 81,989.72 is: 131,380.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,166.69 : 81,989.72 = 81,989.72 : x
  2. Step 2: Convert to fraction form
    51,166.69/81,989.72 = 81,989.72/x
  3. Step 3: Cross multiply
    51,166.69x = 81,989.72 × 81,989.72
  4. Step 4: Simplify right side
    51,166.69x = 6,722,313,980.70
  5. Step 5: Solve for x
    x = 6,722,313,980.70/51,166.69
  6. Step 6: Final answer
    x = 131,380.68

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.