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Finding the Third Proportional to 51,734.25 and 110,343.38

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Solution

The third proportional to 51,734.25 and 110,343.38 is: 235,350.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,734.25 : 110,343.38 = 110,343.38 : x
  2. Step 2: Convert to fraction form
    51,734.25/110,343.38 = 110,343.38/x
  3. Step 3: Cross multiply
    51,734.25x = 110,343.38 × 110,343.38
  4. Step 4: Simplify right side
    51,734.25x = 12,175,660,406.39
  5. Step 5: Solve for x
    x = 12,175,660,406.39/51,734.25
  6. Step 6: Final answer
    x = 235,350.09

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.