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Finding the Third Proportional to 64,067 and 100,213

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Solution

The third proportional to 64,067 and 100,213 is: 156,752.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,067 : 100,213 = 100,213 : x
  2. Step 2: Convert to fraction form
    64,067/100,213 = 100,213/x
  3. Step 3: Cross multiply
    64,067x = 100,213 × 100,213
  4. Step 4: Simplify right side
    64,067x = 10,042,645,369
  5. Step 5: Solve for x
    x = 10,042,645,369/64,067
  6. Step 6: Final answer
    x = 156,752.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.