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Finding the Third Proportional to 68,950 and 107,194

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Solution

The third proportional to 68,950 and 107,194 is: 166,650.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,950 : 107,194 = 107,194 : x
  2. Step 2: Convert to fraction form
    68,950/107,194 = 107,194/x
  3. Step 3: Cross multiply
    68,950x = 107,194 × 107,194
  4. Step 4: Simplify right side
    68,950x = 11,490,553,636
  5. Step 5: Solve for x
    x = 11,490,553,636/68,950
  6. Step 6: Final answer
    x = 166,650.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.