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Finding the Third Proportional to 107,296 and 166,229

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Solution

The third proportional to 107,296 and 166,229 is: 257,531.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,296 : 166,229 = 166,229 : x
  2. Step 2: Convert to fraction form
    107,296/166,229 = 166,229/x
  3. Step 3: Cross multiply
    107,296x = 166,229 × 166,229
  4. Step 4: Simplify right side
    107,296x = 27,632,080,441
  5. Step 5: Solve for x
    x = 27,632,080,441/107,296
  6. Step 6: Final answer
    x = 257,531.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.