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Finding the Third Proportional to 104,067 and 216,942

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Solution

The third proportional to 104,067 and 216,942 is: 452,245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,067 : 216,942 = 216,942 : x
  2. Step 2: Convert to fraction form
    104,067/216,942 = 216,942/x
  3. Step 3: Cross multiply
    104,067x = 216,942 × 216,942
  4. Step 4: Simplify right side
    104,067x = 47,063,831,364
  5. Step 5: Solve for x
    x = 47,063,831,364/104,067
  6. Step 6: Final answer
    x = 452,245.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.