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Finding the Third Proportional to 100,757 and 211,852

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Solution

The third proportional to 100,757 and 211,852 is: 445,440.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,757 : 211,852 = 211,852 : x
  2. Step 2: Convert to fraction form
    100,757/211,852 = 211,852/x
  3. Step 3: Cross multiply
    100,757x = 211,852 × 211,852
  4. Step 4: Simplify right side
    100,757x = 44,881,269,904
  5. Step 5: Solve for x
    x = 44,881,269,904/100,757
  6. Step 6: Final answer
    x = 445,440.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.