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Finding the Third Proportional to 67,096 and 138,512

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Solution

The third proportional to 67,096 and 138,512 is: 285,942.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,096 : 138,512 = 138,512 : x
  2. Step 2: Convert to fraction form
    67,096/138,512 = 138,512/x
  3. Step 3: Cross multiply
    67,096x = 138,512 × 138,512
  4. Step 4: Simplify right side
    67,096x = 19,185,574,144
  5. Step 5: Solve for x
    x = 19,185,574,144/67,096
  6. Step 6: Final answer
    x = 285,942.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.