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Finding the Third Proportional to 67,208 and 142,912

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Solution

The third proportional to 67,208 and 142,912 is: 303,890.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,208 : 142,912 = 142,912 : x
  2. Step 2: Convert to fraction form
    67,208/142,912 = 142,912/x
  3. Step 3: Cross multiply
    67,208x = 142,912 × 142,912
  4. Step 4: Simplify right side
    67,208x = 20,423,839,744
  5. Step 5: Solve for x
    x = 20,423,839,744/67,208
  6. Step 6: Final answer
    x = 303,890.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.