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Finding the Third Proportional to 109,728 and 236,103

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Solution

The third proportional to 109,728 and 236,103 is: 508,025.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,728 : 236,103 = 236,103 : x
  2. Step 2: Convert to fraction form
    109,728/236,103 = 236,103/x
  3. Step 3: Cross multiply
    109,728x = 236,103 × 236,103
  4. Step 4: Simplify right side
    109,728x = 55,744,626,609
  5. Step 5: Solve for x
    x = 55,744,626,609/109,728
  6. Step 6: Final answer
    x = 508,025.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.