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Finding the Third Proportional to 86,269.50 and 192,627

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Solution

The third proportional to 86,269.50 and 192,627 is: 430,107.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,269.50 : 192,627 = 192,627 : x
  2. Step 2: Convert to fraction form
    86,269.50/192,627 = 192,627/x
  3. Step 3: Cross multiply
    86,269.50x = 192,627 × 192,627
  4. Step 4: Simplify right side
    86,269.50x = 37,105,161,129
  5. Step 5: Solve for x
    x = 37,105,161,129/86,269.50
  6. Step 6: Final answer
    x = 430,107.53

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.