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Finding the Third Proportional to 75,343.78 and 161,173.83

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Solution

The third proportional to 75,343.78 and 161,173.83 is: 344,779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,343.78 : 161,173.83 = 161,173.83 : x
  2. Step 2: Convert to fraction form
    75,343.78/161,173.83 = 161,173.83/x
  3. Step 3: Cross multiply
    75,343.78x = 161,173.83 × 161,173.83
  4. Step 4: Simplify right side
    75,343.78x = 25,977,002,872.47
  5. Step 5: Solve for x
    x = 25,977,002,872.47/75,343.78
  6. Step 6: Final answer
    x = 344,779.65

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.