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Finding the Third Proportional to 74,676.94 and 161,238.09

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Solution

The third proportional to 74,676.94 and 161,238.09 is: 348,135.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,676.94 : 161,238.09 = 161,238.09 : x
  2. Step 2: Convert to fraction form
    74,676.94/161,238.09 = 161,238.09/x
  3. Step 3: Cross multiply
    74,676.94x = 161,238.09 × 161,238.09
  4. Step 4: Simplify right side
    74,676.94x = 25,997,722,876.13
  5. Step 5: Solve for x
    x = 25,997,722,876.13/74,676.94
  6. Step 6: Final answer
    x = 348,135.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.