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Finding the Third Proportional to 129,796.88 and 189,591.75

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Solution

The third proportional to 129,796.88 and 189,591.75 is: 276,932.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,796.88 : 189,591.75 = 189,591.75 : x
  2. Step 2: Convert to fraction form
    129,796.88/189,591.75 = 189,591.75/x
  3. Step 3: Cross multiply
    129,796.88x = 189,591.75 × 189,591.75
  4. Step 4: Simplify right side
    129,796.88x = 35,945,031,668.06
  5. Step 5: Solve for x
    x = 35,945,031,668.06/129,796.88
  6. Step 6: Final answer
    x = 276,932.95

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.