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Finding the Third Proportional to 117,963 and 164,939

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Solution

The third proportional to 117,963 and 164,939 is: 230,622.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,963 : 164,939 = 164,939 : x
  2. Step 2: Convert to fraction form
    117,963/164,939 = 164,939/x
  3. Step 3: Cross multiply
    117,963x = 164,939 × 164,939
  4. Step 4: Simplify right side
    117,963x = 27,204,873,721
  5. Step 5: Solve for x
    x = 27,204,873,721/117,963
  6. Step 6: Final answer
    x = 230,622.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.