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Finding the Third Proportional to 75,099 and 104,994

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Solution

The third proportional to 75,099 and 104,994 is: 146,789.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,099 : 104,994 = 104,994 : x
  2. Step 2: Convert to fraction form
    75,099/104,994 = 104,994/x
  3. Step 3: Cross multiply
    75,099x = 104,994 × 104,994
  4. Step 4: Simplify right side
    75,099x = 11,023,740,036
  5. Step 5: Solve for x
    x = 11,023,740,036/75,099
  6. Step 6: Final answer
    x = 146,789.44

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.