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Finding the Third Proportional to 101,757 and 221,593

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Solution

The third proportional to 101,757 and 221,593 is: 482,556.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,757 : 221,593 = 221,593 : x
  2. Step 2: Convert to fraction form
    101,757/221,593 = 221,593/x
  3. Step 3: Cross multiply
    101,757x = 221,593 × 221,593
  4. Step 4: Simplify right side
    101,757x = 49,103,457,649
  5. Step 5: Solve for x
    x = 49,103,457,649/101,757
  6. Step 6: Final answer
    x = 482,556.07

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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.