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Finding the Third Proportional to 74,659.22 and 161,195.06

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Solution

The third proportional to 74,659.22 and 161,195.06 is: 348,032.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,659.22 : 161,195.06 = 161,195.06 : x
  2. Step 2: Convert to fraction form
    74,659.22/161,195.06 = 161,195.06/x
  3. Step 3: Cross multiply
    74,659.22x = 161,195.06 × 161,195.06
  4. Step 4: Simplify right side
    74,659.22x = 25,983,848,174.38
  5. Step 5: Solve for x
    x = 25,983,848,174.38/74,659.22
  6. Step 6: Final answer
    x = 348,032.68

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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.