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Finding the Third Proportional to 75,354 and 164,193

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Solution

The third proportional to 75,354 and 164,193 is: 357,769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,354 : 164,193 = 164,193 : x
  2. Step 2: Convert to fraction form
    75,354/164,193 = 164,193/x
  3. Step 3: Cross multiply
    75,354x = 164,193 × 164,193
  4. Step 4: Simplify right side
    75,354x = 26,959,341,249
  5. Step 5: Solve for x
    x = 26,959,341,249/75,354
  6. Step 6: Final answer
    x = 357,769.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.