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Finding the Third Proportional to 43,741.69 and 102,428.72

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Solution

The third proportional to 43,741.69 and 102,428.72 is: 239,854.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,741.69 : 102,428.72 = 102,428.72 : x
  2. Step 2: Convert to fraction form
    43,741.69/102,428.72 = 102,428.72/x
  3. Step 3: Cross multiply
    43,741.69x = 102,428.72 × 102,428.72
  4. Step 4: Simplify right side
    43,741.69x = 10,491,642,424.77
  5. Step 5: Solve for x
    x = 10,491,642,424.77/43,741.69
  6. Step 6: Final answer
    x = 239,854.54

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.