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Finding the Third Proportional to 74,832.75 and 160,737.19

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Solution

The third proportional to 74,832.75 and 160,737.19 is: 345,255.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,832.75 : 160,737.19 = 160,737.19 : x
  2. Step 2: Convert to fraction form
    74,832.75/160,737.19 = 160,737.19/x
  3. Step 3: Cross multiply
    74,832.75x = 160,737.19 × 160,737.19
  4. Step 4: Simplify right side
    74,832.75x = 25,836,443,445.41
  5. Step 5: Solve for x
    x = 25,836,443,445.41/74,832.75
  6. Step 6: Final answer
    x = 345,255.83

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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.