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Finding the Third Proportional to 104,617 and 134,325

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Solution

The third proportional to 104,617 and 134,325 is: 172,469.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,617 : 134,325 = 134,325 : x
  2. Step 2: Convert to fraction form
    104,617/134,325 = 134,325/x
  3. Step 3: Cross multiply
    104,617x = 134,325 × 134,325
  4. Step 4: Simplify right side
    104,617x = 18,043,205,625
  5. Step 5: Solve for x
    x = 18,043,205,625/104,617
  6. Step 6: Final answer
    x = 172,469.16

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.