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Finding the Third Proportional to 51,701 and 107,242

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Solution

The third proportional to 51,701 and 107,242 is: 222,449.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,701 : 107,242 = 107,242 : x
  2. Step 2: Convert to fraction form
    51,701/107,242 = 107,242/x
  3. Step 3: Cross multiply
    51,701x = 107,242 × 107,242
  4. Step 4: Simplify right side
    51,701x = 11,500,846,564
  5. Step 5: Solve for x
    x = 11,500,846,564/51,701
  6. Step 6: Final answer
    x = 222,449.21

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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.