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Finding the Third Proportional to 69,576 and 104,684

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Solution

The third proportional to 69,576 and 104,684 is: 157,507.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,576 : 104,684 = 104,684 : x
  2. Step 2: Convert to fraction form
    69,576/104,684 = 104,684/x
  3. Step 3: Cross multiply
    69,576x = 104,684 × 104,684
  4. Step 4: Simplify right side
    69,576x = 10,958,739,856
  5. Step 5: Solve for x
    x = 10,958,739,856/69,576
  6. Step 6: Final answer
    x = 157,507.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.