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Finding the Third Proportional to 74,913.75 and 160,944.75

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Solution

The third proportional to 74,913.75 and 160,944.75 is: 345,773.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,913.75 : 160,944.75 = 160,944.75 : x
  2. Step 2: Convert to fraction form
    74,913.75/160,944.75 = 160,944.75/x
  3. Step 3: Cross multiply
    74,913.75x = 160,944.75 × 160,944.75
  4. Step 4: Simplify right side
    74,913.75x = 25,903,212,552.56
  5. Step 5: Solve for x
    x = 25,903,212,552.56/74,913.75
  6. Step 6: Final answer
    x = 345,773.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.