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Finding the Third Proportional to 127,015 and 275,917

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Solution

The third proportional to 127,015 and 275,917 is: 599,379.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,015 : 275,917 = 275,917 : x
  2. Step 2: Convert to fraction form
    127,015/275,917 = 275,917/x
  3. Step 3: Cross multiply
    127,015x = 275,917 × 275,917
  4. Step 4: Simplify right side
    127,015x = 76,130,190,889
  5. Step 5: Solve for x
    x = 76,130,190,889/127,015
  6. Step 6: Final answer
    x = 599,379.53

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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.