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Finding the Third Proportional to 49,239.75 and 107,388.75

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Solution

The third proportional to 49,239.75 and 107,388.75 is: 234,208.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,239.75 : 107,388.75 = 107,388.75 : x
  2. Step 2: Convert to fraction form
    49,239.75/107,388.75 = 107,388.75/x
  3. Step 3: Cross multiply
    49,239.75x = 107,388.75 × 107,388.75
  4. Step 4: Simplify right side
    49,239.75x = 11,532,343,626.56
  5. Step 5: Solve for x
    x = 11,532,343,626.56/49,239.75
  6. Step 6: Final answer
    x = 234,208.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.