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Finding the Third Proportional to 51,958.13 and 83,679.75

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Solution

The third proportional to 51,958.13 and 83,679.75 is: 134,768.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,958.13 : 83,679.75 = 83,679.75 : x
  2. Step 2: Convert to fraction form
    51,958.13/83,679.75 = 83,679.75/x
  3. Step 3: Cross multiply
    51,958.13x = 83,679.75 × 83,679.75
  4. Step 4: Simplify right side
    51,958.13x = 7,002,300,560.06
  5. Step 5: Solve for x
    x = 7,002,300,560.06/51,958.13
  6. Step 6: Final answer
    x = 134,768.15

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.