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Finding the Third Proportional to 74,990.81 and 105,469.59

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Solution

The third proportional to 74,990.81 and 105,469.59 is: 148,335.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,990.81 : 105,469.59 = 105,469.59 : x
  2. Step 2: Convert to fraction form
    74,990.81/105,469.59 = 105,469.59/x
  3. Step 3: Cross multiply
    74,990.81x = 105,469.59 × 105,469.59
  4. Step 4: Simplify right side
    74,990.81x = 11,123,835,205.79
  5. Step 5: Solve for x
    x = 11,123,835,205.79/74,990.81
  6. Step 6: Final answer
    x = 148,335.97

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.