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Finding the Third Proportional to 127,003 and 273,122

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Solution

The third proportional to 127,003 and 273,122 is: 587,353.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,003 : 273,122 = 273,122 : x
  2. Step 2: Convert to fraction form
    127,003/273,122 = 273,122/x
  3. Step 3: Cross multiply
    127,003x = 273,122 × 273,122
  4. Step 4: Simplify right side
    127,003x = 74,595,626,884
  5. Step 5: Solve for x
    x = 74,595,626,884/127,003
  6. Step 6: Final answer
    x = 587,353.27

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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.