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Finding the Third Proportional to 51,664 and 102,512

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Solution

The third proportional to 51,664 and 102,512 is: 203,404.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,664 : 102,512 = 102,512 : x
  2. Step 2: Convert to fraction form
    51,664/102,512 = 102,512/x
  3. Step 3: Cross multiply
    51,664x = 102,512 × 102,512
  4. Step 4: Simplify right side
    51,664x = 10,508,710,144
  5. Step 5: Solve for x
    x = 10,508,710,144/51,664
  6. Step 6: Final answer
    x = 203,404.89

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.