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Finding the Third Proportional to 100,919 and 237,894

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Solution

The third proportional to 100,919 and 237,894 is: 560,781.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,919 : 237,894 = 237,894 : x
  2. Step 2: Convert to fraction form
    100,919/237,894 = 237,894/x
  3. Step 3: Cross multiply
    100,919x = 237,894 × 237,894
  4. Step 4: Simplify right side
    100,919x = 56,593,555,236
  5. Step 5: Solve for x
    x = 56,593,555,236/100,919
  6. Step 6: Final answer
    x = 560,781.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.