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Finding the Third Proportional to 103,831 and 162,660

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Solution

The third proportional to 103,831 and 162,660 is: 254,820.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,831 : 162,660 = 162,660 : x
  2. Step 2: Convert to fraction form
    103,831/162,660 = 162,660/x
  3. Step 3: Cross multiply
    103,831x = 162,660 × 162,660
  4. Step 4: Simplify right side
    103,831x = 26,458,275,600
  5. Step 5: Solve for x
    x = 26,458,275,600/103,831
  6. Step 6: Final answer
    x = 254,820.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.