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Finding the Third Proportional to 135,843 and 187,696.50

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Solution

The third proportional to 135,843 and 187,696.50 is: 259,343.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,843 : 187,696.50 = 187,696.50 : x
  2. Step 2: Convert to fraction form
    135,843/187,696.50 = 187,696.50/x
  3. Step 3: Cross multiply
    135,843x = 187,696.50 × 187,696.50
  4. Step 4: Simplify right side
    135,843x = 35,229,976,112.25
  5. Step 5: Solve for x
    x = 35,229,976,112.25/135,843
  6. Step 6: Final answer
    x = 259,343.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.