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Finding the Third Proportional to 64,067 and 93,631

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Solution

The third proportional to 64,067 and 93,631 is: 136,837.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,067 : 93,631 = 93,631 : x
  2. Step 2: Convert to fraction form
    64,067/93,631 = 93,631/x
  3. Step 3: Cross multiply
    64,067x = 93,631 × 93,631
  4. Step 4: Simplify right side
    64,067x = 8,766,764,161
  5. Step 5: Solve for x
    x = 8,766,764,161/64,067
  6. Step 6: Final answer
    x = 136,837.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.