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Finding the Third Proportional to 64,671.50 and 140,734

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Solution

The third proportional to 64,671.50 and 140,734 is: 306,256.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,671.50 : 140,734 = 140,734 : x
  2. Step 2: Convert to fraction form
    64,671.50/140,734 = 140,734/x
  3. Step 3: Cross multiply
    64,671.50x = 140,734 × 140,734
  4. Step 4: Simplify right side
    64,671.50x = 19,806,058,756
  5. Step 5: Solve for x
    x = 19,806,058,756/64,671.50
  6. Step 6: Final answer
    x = 306,256.37

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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.