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Finding the Third Proportional to 127,121 and 274,063

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Solution

The third proportional to 127,121 and 274,063 is: 590,858.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,121 : 274,063 = 274,063 : x
  2. Step 2: Convert to fraction form
    127,121/274,063 = 274,063/x
  3. Step 3: Cross multiply
    127,121x = 274,063 × 274,063
  4. Step 4: Simplify right side
    127,121x = 75,110,527,969
  5. Step 5: Solve for x
    x = 75,110,527,969/127,121
  6. Step 6: Final answer
    x = 590,858.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.