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Finding the Third Proportional to 51,805 and 107,295

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Solution

The third proportional to 51,805 and 107,295 is: 222,222.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,805 : 107,295 = 107,295 : x
  2. Step 2: Convert to fraction form
    51,805/107,295 = 107,295/x
  3. Step 3: Cross multiply
    51,805x = 107,295 × 107,295
  4. Step 4: Simplify right side
    51,805x = 11,512,217,025
  5. Step 5: Solve for x
    x = 11,512,217,025/51,805
  6. Step 6: Final answer
    x = 222,222.12

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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.