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Finding the Third Proportional to 65,745 and 143,930

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Solution

The third proportional to 65,745 and 143,930 is: 315,093.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,745 : 143,930 = 143,930 : x
  2. Step 2: Convert to fraction form
    65,745/143,930 = 143,930/x
  3. Step 3: Cross multiply
    65,745x = 143,930 × 143,930
  4. Step 4: Simplify right side
    65,745x = 20,715,844,900
  5. Step 5: Solve for x
    x = 20,715,844,900/65,745
  6. Step 6: Final answer
    x = 315,093.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.