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Finding the Third Proportional to 69,369.75 and 104,064.75

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Solution

The third proportional to 69,369.75 and 104,064.75 is: 156,112.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,369.75 : 104,064.75 = 104,064.75 : x
  2. Step 2: Convert to fraction form
    69,369.75/104,064.75 = 104,064.75/x
  3. Step 3: Cross multiply
    69,369.75x = 104,064.75 × 104,064.75
  4. Step 4: Simplify right side
    69,369.75x = 10,829,472,192.56
  5. Step 5: Solve for x
    x = 10,829,472,192.56/69,369.75
  6. Step 6: Final answer
    x = 156,112.31

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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.