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Finding the Third Proportional to 67,740.05 and 147,546.56

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Solution

The third proportional to 67,740.05 and 147,546.56 is: 321,375.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,740.05 : 147,546.56 = 147,546.56 : x
  2. Step 2: Convert to fraction form
    67,740.05/147,546.56 = 147,546.56/x
  3. Step 3: Cross multiply
    67,740.05x = 147,546.56 × 147,546.56
  4. Step 4: Simplify right side
    67,740.05x = 21,769,988,105.57
  5. Step 5: Solve for x
    x = 21,769,988,105.57/67,740.05
  6. Step 6: Final answer
    x = 321,375.45

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.