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Finding the Third Proportional to 51,166.69 and 76,469.06

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Solution

The third proportional to 51,166.69 and 76,469.06 is: 114,283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,166.69 : 76,469.06 = 76,469.06 : x
  2. Step 2: Convert to fraction form
    51,166.69/76,469.06 = 76,469.06/x
  3. Step 3: Cross multiply
    51,166.69x = 76,469.06 × 76,469.06
  4. Step 4: Simplify right side
    51,166.69x = 5,847,517,519.63
  5. Step 5: Solve for x
    x = 5,847,517,519.63/51,166.69
  6. Step 6: Final answer
    x = 114,283.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.