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Finding the Third Proportional to 69,035 and 150,992

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Solution

The third proportional to 69,035 and 150,992 is: 330,246.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,035 : 150,992 = 150,992 : x
  2. Step 2: Convert to fraction form
    69,035/150,992 = 150,992/x
  3. Step 3: Cross multiply
    69,035x = 150,992 × 150,992
  4. Step 4: Simplify right side
    69,035x = 22,798,584,064
  5. Step 5: Solve for x
    x = 22,798,584,064/69,035
  6. Step 6: Final answer
    x = 330,246.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.