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Finding the Third Proportional to 127,814.06 and 276,783.19

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Solution

The third proportional to 127,814.06 and 276,783.19 is: 599,377.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,814.06 : 276,783.19 = 276,783.19 : x
  2. Step 2: Convert to fraction form
    127,814.06/276,783.19 = 276,783.19/x
  3. Step 3: Cross multiply
    127,814.06x = 276,783.19 × 276,783.19
  4. Step 4: Simplify right side
    127,814.06x = 76,608,932,882.66
  5. Step 5: Solve for x
    x = 76,608,932,882.66/127,814.06
  6. Step 6: Final answer
    x = 599,377.97

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Why These Related Problems?

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