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Finding the Third Proportional to 69,816 and 155,100

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Solution

The third proportional to 69,816 and 155,100 is: 344,562.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,816 : 155,100 = 155,100 : x
  2. Step 2: Convert to fraction form
    69,816/155,100 = 155,100/x
  3. Step 3: Cross multiply
    69,816x = 155,100 × 155,100
  4. Step 4: Simplify right side
    69,816x = 24,056,010,000
  5. Step 5: Solve for x
    x = 24,056,010,000/69,816
  6. Step 6: Final answer
    x = 344,562.99

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.