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Finding the Third Proportional to 41,170 and 83,798

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Solution

The third proportional to 41,170 and 83,798 is: 170,563.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,170 : 83,798 = 83,798 : x
  2. Step 2: Convert to fraction form
    41,170/83,798 = 83,798/x
  3. Step 3: Cross multiply
    41,170x = 83,798 × 83,798
  4. Step 4: Simplify right side
    41,170x = 7,022,104,804
  5. Step 5: Solve for x
    x = 7,022,104,804/41,170
  6. Step 6: Final answer
    x = 170,563.63

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.