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Finding the Third Proportional to 129,165.75 and 273,696.75

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Solution

The third proportional to 129,165.75 and 273,696.75 is: 579,951.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,165.75 : 273,696.75 = 273,696.75 : x
  2. Step 2: Convert to fraction form
    129,165.75/273,696.75 = 273,696.75/x
  3. Step 3: Cross multiply
    129,165.75x = 273,696.75 × 273,696.75
  4. Step 4: Simplify right side
    129,165.75x = 74,909,910,960.56
  5. Step 5: Solve for x
    x = 74,909,910,960.56/129,165.75
  6. Step 6: Final answer
    x = 579,951.81

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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.