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Finding the Third Proportional to 104,249 and 212,186

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Solution

The third proportional to 104,249 and 212,186 is: 431,878.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,249 : 212,186 = 212,186 : x
  2. Step 2: Convert to fraction form
    104,249/212,186 = 212,186/x
  3. Step 3: Cross multiply
    104,249x = 212,186 × 212,186
  4. Step 4: Simplify right side
    104,249x = 45,022,898,596
  5. Step 5: Solve for x
    x = 45,022,898,596/104,249
  6. Step 6: Final answer
    x = 431,878.47

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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.