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Finding the Third Proportional to 48,165.26 and 104,608.65

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Solution

The third proportional to 48,165.26 and 104,608.65 is: 227,196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,165.26 : 104,608.65 = 104,608.65 : x
  2. Step 2: Convert to fraction form
    48,165.26/104,608.65 = 104,608.65/x
  3. Step 3: Cross multiply
    48,165.26x = 104,608.65 × 104,608.65
  4. Step 4: Simplify right side
    48,165.26x = 10,942,970,145.18
  5. Step 5: Solve for x
    x = 10,942,970,145.18/48,165.26
  6. Step 6: Final answer
    x = 227,196.34

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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.