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Finding the Third Proportional to 96,124 and 209,744

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Solution

The third proportional to 96,124 and 209,744 is: 457,664.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,124 : 209,744 = 209,744 : x
  2. Step 2: Convert to fraction form
    96,124/209,744 = 209,744/x
  3. Step 3: Cross multiply
    96,124x = 209,744 × 209,744
  4. Step 4: Simplify right side
    96,124x = 43,992,545,536
  5. Step 5: Solve for x
    x = 43,992,545,536/96,124
  6. Step 6: Final answer
    x = 457,664.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.