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Finding the Third Proportional to 105,844 and 163,990

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Solution

The third proportional to 105,844 and 163,990 is: 254,078.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,844 : 163,990 = 163,990 : x
  2. Step 2: Convert to fraction form
    105,844/163,990 = 163,990/x
  3. Step 3: Cross multiply
    105,844x = 163,990 × 163,990
  4. Step 4: Simplify right side
    105,844x = 26,892,720,100
  5. Step 5: Solve for x
    x = 26,892,720,100/105,844
  6. Step 6: Final answer
    x = 254,078.83

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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.