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Finding the Third Proportional to 65,847 and 145,930

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Solution

The third proportional to 65,847 and 145,930 is: 323,409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,847 : 145,930 = 145,930 : x
  2. Step 2: Convert to fraction form
    65,847/145,930 = 145,930/x
  3. Step 3: Cross multiply
    65,847x = 145,930 × 145,930
  4. Step 4: Simplify right side
    65,847x = 21,295,564,900
  5. Step 5: Solve for x
    x = 21,295,564,900/65,847
  6. Step 6: Final answer
    x = 323,409.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.