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Finding the Third Proportional to 74,252 and 160,096

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Solution

The third proportional to 74,252 and 160,096 is: 345,185.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,252 : 160,096 = 160,096 : x
  2. Step 2: Convert to fraction form
    74,252/160,096 = 160,096/x
  3. Step 3: Cross multiply
    74,252x = 160,096 × 160,096
  4. Step 4: Simplify right side
    74,252x = 25,630,729,216
  5. Step 5: Solve for x
    x = 25,630,729,216/74,252
  6. Step 6: Final answer
    x = 345,185.71

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Why These Related Problems?

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