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Finding the Third Proportional to 117,916 and 166,690

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Solution

The third proportional to 117,916 and 166,690 is: 235,638.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,916 : 166,690 = 166,690 : x
  2. Step 2: Convert to fraction form
    117,916/166,690 = 166,690/x
  3. Step 3: Cross multiply
    117,916x = 166,690 × 166,690
  4. Step 4: Simplify right side
    117,916x = 27,785,556,100
  5. Step 5: Solve for x
    x = 27,785,556,100/117,916
  6. Step 6: Final answer
    x = 235,638.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.