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Finding the Third Proportional to 128,088.75 and 273,912.75

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Solution

The third proportional to 128,088.75 and 273,912.75 is: 585,751.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,088.75 : 273,912.75 = 273,912.75 : x
  2. Step 2: Convert to fraction form
    128,088.75/273,912.75 = 273,912.75/x
  3. Step 3: Cross multiply
    128,088.75x = 273,912.75 × 273,912.75
  4. Step 4: Simplify right side
    128,088.75x = 75,028,194,612.56
  5. Step 5: Solve for x
    x = 75,028,194,612.56/128,088.75
  6. Step 6: Final answer
    x = 585,751.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.