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Finding the Third Proportional to 102,963 and 188,839

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Solution

The third proportional to 102,963 and 188,839 is: 346,339.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,963 : 188,839 = 188,839 : x
  2. Step 2: Convert to fraction form
    102,963/188,839 = 188,839/x
  3. Step 3: Cross multiply
    102,963x = 188,839 × 188,839
  4. Step 4: Simplify right side
    102,963x = 35,660,167,921
  5. Step 5: Solve for x
    x = 35,660,167,921/102,963
  6. Step 6: Final answer
    x = 346,339.64

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.