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Finding the Third Proportional to 127,104 and 273,910

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Solution

The third proportional to 127,104 and 273,910 is: 590,277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,104 : 273,910 = 273,910 : x
  2. Step 2: Convert to fraction form
    127,104/273,910 = 273,910/x
  3. Step 3: Cross multiply
    127,104x = 273,910 × 273,910
  4. Step 4: Simplify right side
    127,104x = 75,026,688,100
  5. Step 5: Solve for x
    x = 75,026,688,100/127,104
  6. Step 6: Final answer
    x = 590,277.95

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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.