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Finding the Third Proportional to 74,699.44 and 161,844.75

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Solution

The third proportional to 74,699.44 and 161,844.75 is: 350,654.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,699.44 : 161,844.75 = 161,844.75 : x
  2. Step 2: Convert to fraction form
    74,699.44/161,844.75 = 161,844.75/x
  3. Step 3: Cross multiply
    74,699.44x = 161,844.75 × 161,844.75
  4. Step 4: Simplify right side
    74,699.44x = 26,193,723,102.56
  5. Step 5: Solve for x
    x = 26,193,723,102.56/74,699.44
  6. Step 6: Final answer
    x = 350,654.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.