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Finding the Third Proportional to 68,685 and 144,873

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Solution

The third proportional to 68,685 and 144,873 is: 305,571.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,685 : 144,873 = 144,873 : x
  2. Step 2: Convert to fraction form
    68,685/144,873 = 144,873/x
  3. Step 3: Cross multiply
    68,685x = 144,873 × 144,873
  4. Step 4: Simplify right side
    68,685x = 20,988,186,129
  5. Step 5: Solve for x
    x = 20,988,186,129/68,685
  6. Step 6: Final answer
    x = 305,571.61

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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.