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Finding the Third Proportional to 68,313.38 and 144,053.44

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Solution

The third proportional to 68,313.38 and 144,053.44 is: 303,767.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,313.38 : 144,053.44 = 144,053.44 : x
  2. Step 2: Convert to fraction form
    68,313.38/144,053.44 = 144,053.44/x
  3. Step 3: Cross multiply
    68,313.38x = 144,053.44 × 144,053.44
  4. Step 4: Simplify right side
    68,313.38x = 20,751,392,855.57
  5. Step 5: Solve for x
    x = 20,751,392,855.57/68,313.38
  6. Step 6: Final answer
    x = 303,767.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.