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Finding the Third Proportional to 69,847 and 150,854

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Solution

The third proportional to 69,847 and 150,854 is: 325,811.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,847 : 150,854 = 150,854 : x
  2. Step 2: Convert to fraction form
    69,847/150,854 = 150,854/x
  3. Step 3: Cross multiply
    69,847x = 150,854 × 150,854
  4. Step 4: Simplify right side
    69,847x = 22,756,929,316
  5. Step 5: Solve for x
    x = 22,756,929,316/69,847
  6. Step 6: Final answer
    x = 325,811.12

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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.