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Finding the Third Proportional to 64,673 and 140,736

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Solution

The third proportional to 64,673 and 140,736 is: 306,257.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,673 : 140,736 = 140,736 : x
  2. Step 2: Convert to fraction form
    64,673/140,736 = 140,736/x
  3. Step 3: Cross multiply
    64,673x = 140,736 × 140,736
  4. Step 4: Simplify right side
    64,673x = 19,806,621,696
  5. Step 5: Solve for x
    x = 19,806,621,696/64,673
  6. Step 6: Final answer
    x = 306,257.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.