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Finding the Third Proportional to 127,815.75 and 276,791.06

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Solution

The third proportional to 127,815.75 and 276,791.06 is: 599,404.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,815.75 : 276,791.06 = 276,791.06 : x
  2. Step 2: Convert to fraction form
    127,815.75/276,791.06 = 276,791.06/x
  3. Step 3: Cross multiply
    127,815.75x = 276,791.06 × 276,791.06
  4. Step 4: Simplify right side
    127,815.75x = 76,613,292,279.88
  5. Step 5: Solve for x
    x = 76,613,292,279.88/127,815.75
  6. Step 6: Final answer
    x = 599,404.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.