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Finding the Third Proportional to 75,212 and 178,194

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Solution

The third proportional to 75,212 and 178,194 is: 422,181.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,212 : 178,194 = 178,194 : x
  2. Step 2: Convert to fraction form
    75,212/178,194 = 178,194/x
  3. Step 3: Cross multiply
    75,212x = 178,194 × 178,194
  4. Step 4: Simplify right side
    75,212x = 31,753,101,636
  5. Step 5: Solve for x
    x = 31,753,101,636/75,212
  6. Step 6: Final answer
    x = 422,181.32

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.