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Finding the Third Proportional to 104,085 and 245,626

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Solution

The third proportional to 104,085 and 245,626 is: 579,642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,085 : 245,626 = 245,626 : x
  2. Step 2: Convert to fraction form
    104,085/245,626 = 245,626/x
  3. Step 3: Cross multiply
    104,085x = 245,626 × 245,626
  4. Step 4: Simplify right side
    104,085x = 60,332,131,876
  5. Step 5: Solve for x
    x = 60,332,131,876/104,085
  6. Step 6: Final answer
    x = 579,642.91

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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.