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Finding the Third Proportional to 73,472 and 160,096

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Solution

The third proportional to 73,472 and 160,096 is: 348,850.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,472 : 160,096 = 160,096 : x
  2. Step 2: Convert to fraction form
    73,472/160,096 = 160,096/x
  3. Step 3: Cross multiply
    73,472x = 160,096 × 160,096
  4. Step 4: Simplify right side
    73,472x = 25,630,729,216
  5. Step 5: Solve for x
    x = 25,630,729,216/73,472
  6. Step 6: Final answer
    x = 348,850.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.