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Finding the Third Proportional to 75,579.75 and 117,964.69

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Solution

The third proportional to 75,579.75 and 117,964.69 is: 184,118.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,579.75 : 117,964.69 = 117,964.69 : x
  2. Step 2: Convert to fraction form
    75,579.75/117,964.69 = 117,964.69/x
  3. Step 3: Cross multiply
    75,579.75x = 117,964.69 × 117,964.69
  4. Step 4: Simplify right side
    75,579.75x = 13,915,667,496.97
  5. Step 5: Solve for x
    x = 13,915,667,496.97/75,579.75
  6. Step 6: Final answer
    x = 184,118.99

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.