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Finding the Third Proportional to 86,251.50 and 188,532

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Solution

The third proportional to 86,251.50 and 188,532 is: 412,100.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,251.50 : 188,532 = 188,532 : x
  2. Step 2: Convert to fraction form
    86,251.50/188,532 = 188,532/x
  3. Step 3: Cross multiply
    86,251.50x = 188,532 × 188,532
  4. Step 4: Simplify right side
    86,251.50x = 35,544,315,024
  5. Step 5: Solve for x
    x = 35,544,315,024/86,251.50
  6. Step 6: Final answer
    x = 412,100.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.