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Finding the Third Proportional to 42,724.69 and 93,494.81

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Solution

The third proportional to 42,724.69 and 93,494.81 is: 204,595.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,724.69 : 93,494.81 = 93,494.81 : x
  2. Step 2: Convert to fraction form
    42,724.69/93,494.81 = 93,494.81/x
  3. Step 3: Cross multiply
    42,724.69x = 93,494.81 × 93,494.81
  4. Step 4: Simplify right side
    42,724.69x = 8,741,279,964.41
  5. Step 5: Solve for x
    x = 8,741,279,964.41/42,724.69
  6. Step 6: Final answer
    x = 204,595.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.