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Finding the Third Proportional to 69,296 and 108,000

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Solution

The third proportional to 69,296 and 108,000 is: 168,321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,296 : 108,000 = 108,000 : x
  2. Step 2: Convert to fraction form
    69,296/108,000 = 108,000/x
  3. Step 3: Cross multiply
    69,296x = 108,000 × 108,000
  4. Step 4: Simplify right side
    69,296x = 11,664,000,000
  5. Step 5: Solve for x
    x = 11,664,000,000/69,296
  6. Step 6: Final answer
    x = 168,321.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.