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Finding the Third Proportional to 64,739.25 and 140,573.25

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Solution

The third proportional to 64,739.25 and 140,573.25 is: 305,237.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,739.25 : 140,573.25 = 140,573.25 : x
  2. Step 2: Convert to fraction form
    64,739.25/140,573.25 = 140,573.25/x
  3. Step 3: Cross multiply
    64,739.25x = 140,573.25 × 140,573.25
  4. Step 4: Simplify right side
    64,739.25x = 19,760,838,615.56
  5. Step 5: Solve for x
    x = 19,760,838,615.56/64,739.25
  6. Step 6: Final answer
    x = 305,237.37

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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.