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Finding the Third Proportional to 136,904 and 275,843

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Solution

The third proportional to 136,904 and 275,843 is: 555,786.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,904 : 275,843 = 275,843 : x
  2. Step 2: Convert to fraction form
    136,904/275,843 = 275,843/x
  3. Step 3: Cross multiply
    136,904x = 275,843 × 275,843
  4. Step 4: Simplify right side
    136,904x = 76,089,360,649
  5. Step 5: Solve for x
    x = 76,089,360,649/136,904
  6. Step 6: Final answer
    x = 555,786.25

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.