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Finding the Third Proportional to 86,425 and 133,325

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Solution

The third proportional to 86,425 and 133,325 is: 205,676.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,425 : 133,325 = 133,325 : x
  2. Step 2: Convert to fraction form
    86,425/133,325 = 133,325/x
  3. Step 3: Cross multiply
    86,425x = 133,325 × 133,325
  4. Step 4: Simplify right side
    86,425x = 17,775,555,625
  5. Step 5: Solve for x
    x = 17,775,555,625/86,425
  6. Step 6: Final answer
    x = 205,676.08

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.