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Finding the Third Proportional to 127,739.50 and 263,679

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Solution

The third proportional to 127,739.50 and 263,679 is: 544,284.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,739.50 : 263,679 = 263,679 : x
  2. Step 2: Convert to fraction form
    127,739.50/263,679 = 263,679/x
  3. Step 3: Cross multiply
    127,739.50x = 263,679 × 263,679
  4. Step 4: Simplify right side
    127,739.50x = 69,526,615,041
  5. Step 5: Solve for x
    x = 69,526,615,041/127,739.50
  6. Step 6: Final answer
    x = 544,284.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.