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Finding the Third Proportional to 69,045.75 and 150,393.75

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Solution

The third proportional to 69,045.75 and 150,393.75 is: 327,583.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,045.75 : 150,393.75 = 150,393.75 : x
  2. Step 2: Convert to fraction form
    69,045.75/150,393.75 = 150,393.75/x
  3. Step 3: Cross multiply
    69,045.75x = 150,393.75 × 150,393.75
  4. Step 4: Simplify right side
    69,045.75x = 22,618,280,039.06
  5. Step 5: Solve for x
    x = 22,618,280,039.06/69,045.75
  6. Step 6: Final answer
    x = 327,583.96

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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.