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Finding the Third Proportional to 103,636 and 274,285

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Solution

The third proportional to 103,636 and 274,285 is: 725,927.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,636 : 274,285 = 274,285 : x
  2. Step 2: Convert to fraction form
    103,636/274,285 = 274,285/x
  3. Step 3: Cross multiply
    103,636x = 274,285 × 274,285
  4. Step 4: Simplify right side
    103,636x = 75,232,261,225
  5. Step 5: Solve for x
    x = 75,232,261,225/103,636
  6. Step 6: Final answer
    x = 725,927.87

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.