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Finding the Third Proportional to 110,652 and 167,649

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Solution

The third proportional to 110,652 and 167,649 is: 254,005.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,652 : 167,649 = 167,649 : x
  2. Step 2: Convert to fraction form
    110,652/167,649 = 167,649/x
  3. Step 3: Cross multiply
    110,652x = 167,649 × 167,649
  4. Step 4: Simplify right side
    110,652x = 28,106,187,201
  5. Step 5: Solve for x
    x = 28,106,187,201/110,652
  6. Step 6: Final answer
    x = 254,005.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.