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Finding the Third Proportional to 67,004 and 104,195

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Solution

The third proportional to 67,004 and 104,195 is: 162,029.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,004 : 104,195 = 104,195 : x
  2. Step 2: Convert to fraction form
    67,004/104,195 = 104,195/x
  3. Step 3: Cross multiply
    67,004x = 104,195 × 104,195
  4. Step 4: Simplify right side
    67,004x = 10,856,598,025
  5. Step 5: Solve for x
    x = 10,856,598,025/67,004
  6. Step 6: Final answer
    x = 162,029.10

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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.