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Finding the Third Proportional to 34,144 and 69,975

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Solution

The third proportional to 34,144 and 69,975 is: 143,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,144 : 69,975 = 69,975 : x
  2. Step 2: Convert to fraction form
    34,144/69,975 = 69,975/x
  3. Step 3: Cross multiply
    34,144x = 69,975 × 69,975
  4. Step 4: Simplify right side
    34,144x = 4,896,500,625
  5. Step 5: Solve for x
    x = 4,896,500,625/34,144
  6. Step 6: Final answer
    x = 143,407.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.