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Finding the Third Proportional to 127,119 and 273,697

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Solution

The third proportional to 127,119 and 273,697 is: 589,290.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,119 : 273,697 = 273,697 : x
  2. Step 2: Convert to fraction form
    127,119/273,697 = 273,697/x
  3. Step 3: Cross multiply
    127,119x = 273,697 × 273,697
  4. Step 4: Simplify right side
    127,119x = 74,910,047,809
  5. Step 5: Solve for x
    x = 74,910,047,809/127,119
  6. Step 6: Final answer
    x = 589,290.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.