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Finding the Third Proportional to 42,212.81 and 89,172.56

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Solution

The third proportional to 42,212.81 and 89,172.56 is: 188,372.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,212.81 : 89,172.56 = 89,172.56 : x
  2. Step 2: Convert to fraction form
    42,212.81/89,172.56 = 89,172.56/x
  3. Step 3: Cross multiply
    42,212.81x = 89,172.56 × 89,172.56
  4. Step 4: Simplify right side
    42,212.81x = 7,951,745,902.82
  5. Step 5: Solve for x
    x = 7,951,745,902.82/42,212.81
  6. Step 6: Final answer
    x = 188,372.81

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.