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Finding the Third Proportional to 44,075 and 67,144

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Solution

The third proportional to 44,075 and 67,144 is: 102,287.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,075 : 67,144 = 67,144 : x
  2. Step 2: Convert to fraction form
    44,075/67,144 = 67,144/x
  3. Step 3: Cross multiply
    44,075x = 67,144 × 67,144
  4. Step 4: Simplify right side
    44,075x = 4,508,316,736
  5. Step 5: Solve for x
    x = 4,508,316,736/44,075
  6. Step 6: Final answer
    x = 102,287.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.