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Finding the Third Proportional to 127,095.75 and 276,324.75

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Solution

The third proportional to 127,095.75 and 276,324.75 is: 600,770.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,095.75 : 276,324.75 = 276,324.75 : x
  2. Step 2: Convert to fraction form
    127,095.75/276,324.75 = 276,324.75/x
  3. Step 3: Cross multiply
    127,095.75x = 276,324.75 × 276,324.75
  4. Step 4: Simplify right side
    127,095.75x = 76,355,367,462.56
  5. Step 5: Solve for x
    x = 76,355,367,462.56/127,095.75
  6. Step 6: Final answer
    x = 600,770.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.