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Finding the Third Proportional to 69,814 and 150,698

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Solution

The third proportional to 69,814 and 150,698 is: 325,291.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,814 : 150,698 = 150,698 : x
  2. Step 2: Convert to fraction form
    69,814/150,698 = 150,698/x
  3. Step 3: Cross multiply
    69,814x = 150,698 × 150,698
  4. Step 4: Simplify right side
    69,814x = 22,709,887,204
  5. Step 5: Solve for x
    x = 22,709,887,204/69,814
  6. Step 6: Final answer
    x = 325,291.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.