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Finding the Third Proportional to 83,954 and 126,739.75

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Solution

The third proportional to 83,954 and 126,739.75 is: 191,330.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,954 : 126,739.75 = 126,739.75 : x
  2. Step 2: Convert to fraction form
    83,954/126,739.75 = 126,739.75/x
  3. Step 3: Cross multiply
    83,954x = 126,739.75 × 126,739.75
  4. Step 4: Simplify right side
    83,954x = 16,062,964,230.06
  5. Step 5: Solve for x
    x = 16,062,964,230.06/83,954
  6. Step 6: Final answer
    x = 191,330.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.