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Finding the Third Proportional to 127,173 and 274,029

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Solution

The third proportional to 127,173 and 274,029 is: 590,470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,173 : 274,029 = 274,029 : x
  2. Step 2: Convert to fraction form
    127,173/274,029 = 274,029/x
  3. Step 3: Cross multiply
    127,173x = 274,029 × 274,029
  4. Step 4: Simplify right side
    127,173x = 75,091,892,841
  5. Step 5: Solve for x
    x = 75,091,892,841/127,173
  6. Step 6: Final answer
    x = 590,470.41

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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.