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Finding the Third Proportional to 69,854 and 150,868

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Solution

The third proportional to 69,854 and 150,868 is: 325,838.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,854 : 150,868 = 150,868 : x
  2. Step 2: Convert to fraction form
    69,854/150,868 = 150,868/x
  3. Step 3: Cross multiply
    69,854x = 150,868 × 150,868
  4. Step 4: Simplify right side
    69,854x = 22,761,153,424
  5. Step 5: Solve for x
    x = 22,761,153,424/69,854
  6. Step 6: Final answer
    x = 325,838.94

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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.