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Finding the Third Proportional to 75,948 and 166,194

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Solution

The third proportional to 75,948 and 166,194 is: 363,675.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,948 : 166,194 = 166,194 : x
  2. Step 2: Convert to fraction form
    75,948/166,194 = 166,194/x
  3. Step 3: Cross multiply
    75,948x = 166,194 × 166,194
  4. Step 4: Simplify right side
    75,948x = 27,620,445,636
  5. Step 5: Solve for x
    x = 27,620,445,636/75,948
  6. Step 6: Final answer
    x = 363,675.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.