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Finding the Third Proportional to 33,156 and 68,256

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Solution

The third proportional to 33,156 and 68,256 is: 140,513.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,156 : 68,256 = 68,256 : x
  2. Step 2: Convert to fraction form
    33,156/68,256 = 68,256/x
  3. Step 3: Cross multiply
    33,156x = 68,256 × 68,256
  4. Step 4: Simplify right side
    33,156x = 4,658,881,536
  5. Step 5: Solve for x
    x = 4,658,881,536/33,156
  6. Step 6: Final answer
    x = 140,513.98

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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.