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Finding the Third Proportional to 102,960 and 188,834

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Solution

The third proportional to 102,960 and 188,834 is: 346,331.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,960 : 188,834 = 188,834 : x
  2. Step 2: Convert to fraction form
    102,960/188,834 = 188,834/x
  3. Step 3: Cross multiply
    102,960x = 188,834 × 188,834
  4. Step 4: Simplify right side
    102,960x = 35,658,279,556
  5. Step 5: Solve for x
    x = 35,658,279,556/102,960
  6. Step 6: Final answer
    x = 346,331.39

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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.