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Finding the Third Proportional to 51,834 and 108,891

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Solution

The third proportional to 51,834 and 108,891 is: 228,754.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,834 : 108,891 = 108,891 : x
  2. Step 2: Convert to fraction form
    51,834/108,891 = 108,891/x
  3. Step 3: Cross multiply
    51,834x = 108,891 × 108,891
  4. Step 4: Simplify right side
    51,834x = 11,857,249,881
  5. Step 5: Solve for x
    x = 11,857,249,881/51,834
  6. Step 6: Final answer
    x = 228,754.29

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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.