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Finding the Third Proportional to 129,177.28 and 273,990.09

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Solution

The third proportional to 129,177.28 and 273,990.09 is: 581,143.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,177.28 : 273,990.09 = 273,990.09 : x
  2. Step 2: Convert to fraction form
    129,177.28/273,990.09 = 273,990.09/x
  3. Step 3: Cross multiply
    129,177.28x = 273,990.09 × 273,990.09
  4. Step 4: Simplify right side
    129,177.28x = 75,070,571,473.13
  5. Step 5: Solve for x
    x = 75,070,571,473.13/129,177.28
  6. Step 6: Final answer
    x = 581,143.76

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.