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Finding the Third Proportional to 67,446 and 104,895

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Solution

The third proportional to 67,446 and 104,895 is: 163,137.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,446 : 104,895 = 104,895 : x
  2. Step 2: Convert to fraction form
    67,446/104,895 = 104,895/x
  3. Step 3: Cross multiply
    67,446x = 104,895 × 104,895
  4. Step 4: Simplify right side
    67,446x = 11,002,961,025
  5. Step 5: Solve for x
    x = 11,002,961,025/67,446
  6. Step 6: Final answer
    x = 163,137.34

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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.