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Finding the Third Proportional to 74,224.50 and 161,769.75

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Solution

The third proportional to 74,224.50 and 161,769.75 is: 352,571.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,224.50 : 161,769.75 = 161,769.75 : x
  2. Step 2: Convert to fraction form
    74,224.50/161,769.75 = 161,769.75/x
  3. Step 3: Cross multiply
    74,224.50x = 161,769.75 × 161,769.75
  4. Step 4: Simplify right side
    74,224.50x = 26,169,452,015.06
  5. Step 5: Solve for x
    x = 26,169,452,015.06/74,224.50
  6. Step 6: Final answer
    x = 352,571.62

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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.