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Finding the Third Proportional to 33,512 and 66,178

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Solution

The third proportional to 33,512 and 66,178 is: 130,685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,512 : 66,178 = 66,178 : x
  2. Step 2: Convert to fraction form
    33,512/66,178 = 66,178/x
  3. Step 3: Cross multiply
    33,512x = 66,178 × 66,178
  4. Step 4: Simplify right side
    33,512x = 4,379,527,684
  5. Step 5: Solve for x
    x = 4,379,527,684/33,512
  6. Step 6: Final answer
    x = 130,685.36

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.