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Finding the Third Proportional to 51,808 and 107,301

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Solution

The third proportional to 51,808 and 107,301 is: 222,234.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,808 : 107,301 = 107,301 : x
  2. Step 2: Convert to fraction form
    51,808/107,301 = 107,301/x
  3. Step 3: Cross multiply
    51,808x = 107,301 × 107,301
  4. Step 4: Simplify right side
    51,808x = 11,513,504,601
  5. Step 5: Solve for x
    x = 11,513,504,601/51,808
  6. Step 6: Final answer
    x = 222,234.11

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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.