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Finding the Third Proportional to 96,960 and 207,744

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Solution

The third proportional to 96,960 and 207,744 is: 445,106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,960 : 207,744 = 207,744 : x
  2. Step 2: Convert to fraction form
    96,960/207,744 = 207,744/x
  3. Step 3: Cross multiply
    96,960x = 207,744 × 207,744
  4. Step 4: Simplify right side
    96,960x = 43,157,569,536
  5. Step 5: Solve for x
    x = 43,157,569,536/96,960
  6. Step 6: Final answer
    x = 445,106.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.