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Finding the Third Proportional to 67,001 and 104,191

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Solution

The third proportional to 67,001 and 104,191 is: 162,023.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,001 : 104,191 = 104,191 : x
  2. Step 2: Convert to fraction form
    67,001/104,191 = 104,191/x
  3. Step 3: Cross multiply
    67,001x = 104,191 × 104,191
  4. Step 4: Simplify right side
    67,001x = 10,855,764,481
  5. Step 5: Solve for x
    x = 10,855,764,481/67,001
  6. Step 6: Final answer
    x = 162,023.92

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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.