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Finding the Third Proportional to 73,980 and 104,679.75

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Solution

The third proportional to 73,980 and 104,679.75 is: 148,119.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,980 : 104,679.75 = 104,679.75 : x
  2. Step 2: Convert to fraction form
    73,980/104,679.75 = 104,679.75/x
  3. Step 3: Cross multiply
    73,980x = 104,679.75 × 104,679.75
  4. Step 4: Simplify right side
    73,980x = 10,957,850,060.06
  5. Step 5: Solve for x
    x = 10,957,850,060.06/73,980
  6. Step 6: Final answer
    x = 148,119.09

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.