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Finding the Third Proportional to 73,968 and 159,600

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Solution

The third proportional to 73,968 and 159,600 is: 344,367.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,968 : 159,600 = 159,600 : x
  2. Step 2: Convert to fraction form
    73,968/159,600 = 159,600/x
  3. Step 3: Cross multiply
    73,968x = 159,600 × 159,600
  4. Step 4: Simplify right side
    73,968x = 25,472,160,000
  5. Step 5: Solve for x
    x = 25,472,160,000/73,968
  6. Step 6: Final answer
    x = 344,367.29

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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.