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Finding the Third Proportional to 105,962 and 220,544

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Solution

The third proportional to 105,962 and 220,544 is: 459,029.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,962 : 220,544 = 220,544 : x
  2. Step 2: Convert to fraction form
    105,962/220,544 = 220,544/x
  3. Step 3: Cross multiply
    105,962x = 220,544 × 220,544
  4. Step 4: Simplify right side
    105,962x = 48,639,655,936
  5. Step 5: Solve for x
    x = 48,639,655,936/105,962
  6. Step 6: Final answer
    x = 459,029.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.