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Finding the Third Proportional to 73,728 and 159,968

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Solution

The third proportional to 73,728 and 159,968 is: 347,083.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,728 : 159,968 = 159,968 : x
  2. Step 2: Convert to fraction form
    73,728/159,968 = 159,968/x
  3. Step 3: Cross multiply
    73,728x = 159,968 × 159,968
  4. Step 4: Simplify right side
    73,728x = 25,589,761,024
  5. Step 5: Solve for x
    x = 25,589,761,024/73,728
  6. Step 6: Final answer
    x = 347,083.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.