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Finding the Third Proportional to 41,173 and 83,804

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Solution

The third proportional to 41,173 and 83,804 is: 170,575.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,173 : 83,804 = 83,804 : x
  2. Step 2: Convert to fraction form
    41,173/83,804 = 83,804/x
  3. Step 3: Cross multiply
    41,173x = 83,804 × 83,804
  4. Step 4: Simplify right side
    41,173x = 7,023,110,416
  5. Step 5: Solve for x
    x = 7,023,110,416/41,173
  6. Step 6: Final answer
    x = 170,575.63

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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.