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Finding the Third Proportional to 69,992.54 and 150,369.06

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Solution

The third proportional to 69,992.54 and 150,369.06 is: 323,046.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,992.54 : 150,369.06 = 150,369.06 : x
  2. Step 2: Convert to fraction form
    69,992.54/150,369.06 = 150,369.06/x
  3. Step 3: Cross multiply
    69,992.54x = 150,369.06 × 150,369.06
  4. Step 4: Simplify right side
    69,992.54x = 22,610,855,544.51
  5. Step 5: Solve for x
    x = 22,610,855,544.51/69,992.54
  6. Step 6: Final answer
    x = 323,046.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.