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Finding the Third Proportional to 127,009 and 275,906

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Solution

The third proportional to 127,009 and 275,906 is: 599,360.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,009 : 275,906 = 275,906 : x
  2. Step 2: Convert to fraction form
    127,009/275,906 = 275,906/x
  3. Step 3: Cross multiply
    127,009x = 275,906 × 275,906
  4. Step 4: Simplify right side
    127,009x = 76,124,120,836
  5. Step 5: Solve for x
    x = 76,124,120,836/127,009
  6. Step 6: Final answer
    x = 599,360.05

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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.