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Finding the Third Proportional to 51,287 and 107,758

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Solution

The third proportional to 51,287 and 107,758 is: 226,407.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,287 : 107,758 = 107,758 : x
  2. Step 2: Convert to fraction form
    51,287/107,758 = 107,758/x
  3. Step 3: Cross multiply
    51,287x = 107,758 × 107,758
  4. Step 4: Simplify right side
    51,287x = 11,611,786,564
  5. Step 5: Solve for x
    x = 11,611,786,564/51,287
  6. Step 6: Final answer
    x = 226,407.99

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.