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Finding the Third Proportional to 51,706 and 107,252

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Solution

The third proportional to 51,706 and 107,252 is: 222,469.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,706 : 107,252 = 107,252 : x
  2. Step 2: Convert to fraction form
    51,706/107,252 = 107,252/x
  3. Step 3: Cross multiply
    51,706x = 107,252 × 107,252
  4. Step 4: Simplify right side
    51,706x = 11,502,991,504
  5. Step 5: Solve for x
    x = 11,502,991,504/51,706
  6. Step 6: Final answer
    x = 222,469.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.