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Finding the Third Proportional to 127,054 and 270,992

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Solution

The third proportional to 127,054 and 270,992 is: 577,995.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,054 : 270,992 = 270,992 : x
  2. Step 2: Convert to fraction form
    127,054/270,992 = 270,992/x
  3. Step 3: Cross multiply
    127,054x = 270,992 × 270,992
  4. Step 4: Simplify right side
    127,054x = 73,436,664,064
  5. Step 5: Solve for x
    x = 73,436,664,064/127,054
  6. Step 6: Final answer
    x = 577,995.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.