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Finding the Third Proportional to 79,302 and 116,325

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Solution

The third proportional to 79,302 and 116,325 is: 170,632.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,302 : 116,325 = 116,325 : x
  2. Step 2: Convert to fraction form
    79,302/116,325 = 116,325/x
  3. Step 3: Cross multiply
    79,302x = 116,325 × 116,325
  4. Step 4: Simplify right side
    79,302x = 13,531,505,625
  5. Step 5: Solve for x
    x = 13,531,505,625/79,302
  6. Step 6: Final answer
    x = 170,632.59

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.