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Finding the Third Proportional to 51,814 and 107,523

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Solution

The third proportional to 51,814 and 107,523 is: 223,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,814 : 107,523 = 107,523 : x
  2. Step 2: Convert to fraction form
    51,814/107,523 = 107,523/x
  3. Step 3: Cross multiply
    51,814x = 107,523 × 107,523
  4. Step 4: Simplify right side
    51,814x = 11,561,195,529
  5. Step 5: Solve for x
    x = 11,561,195,529/51,814
  6. Step 6: Final answer
    x = 223,128.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.