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Finding the Third Proportional to 51,355.69 and 110,350.69

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Solution

The third proportional to 51,355.69 and 110,350.69 is: 237,116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,355.69 : 110,350.69 = 110,350.69 : x
  2. Step 2: Convert to fraction form
    51,355.69/110,350.69 = 110,350.69/x
  3. Step 3: Cross multiply
    51,355.69x = 110,350.69 × 110,350.69
  4. Step 4: Simplify right side
    51,355.69x = 12,177,274,231.72
  5. Step 5: Solve for x
    x = 12,177,274,231.72/51,355.69
  6. Step 6: Final answer
    x = 237,116.37

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.