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Finding the Third Proportional to 41,945 and 83,852

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Solution

The third proportional to 41,945 and 83,852 is: 167,628.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,945 : 83,852 = 83,852 : x
  2. Step 2: Convert to fraction form
    41,945/83,852 = 83,852/x
  3. Step 3: Cross multiply
    41,945x = 83,852 × 83,852
  4. Step 4: Simplify right side
    41,945x = 7,031,157,904
  5. Step 5: Solve for x
    x = 7,031,157,904/41,945
  6. Step 6: Final answer
    x = 167,628.03

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.