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Finding the Third Proportional to 86,760 and 190,125

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Solution

The third proportional to 86,760 and 190,125 is: 416,638.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,760 : 190,125 = 190,125 : x
  2. Step 2: Convert to fraction form
    86,760/190,125 = 190,125/x
  3. Step 3: Cross multiply
    86,760x = 190,125 × 190,125
  4. Step 4: Simplify right side
    86,760x = 36,147,515,625
  5. Step 5: Solve for x
    x = 36,147,515,625/86,760
  6. Step 6: Final answer
    x = 416,638.03

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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.