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Finding the Third Proportional to 67,968 and 159,916

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Solution

The third proportional to 67,968 and 159,916 is: 376,252.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,968 : 159,916 = 159,916 : x
  2. Step 2: Convert to fraction form
    67,968/159,916 = 159,916/x
  3. Step 3: Cross multiply
    67,968x = 159,916 × 159,916
  4. Step 4: Simplify right side
    67,968x = 25,573,127,056
  5. Step 5: Solve for x
    x = 25,573,127,056/67,968
  6. Step 6: Final answer
    x = 376,252.46

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.