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Finding the Third Proportional to 71,955 and 108,936

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Solution

The third proportional to 71,955 and 108,936 is: 164,923.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,955 : 108,936 = 108,936 : x
  2. Step 2: Convert to fraction form
    71,955/108,936 = 108,936/x
  3. Step 3: Cross multiply
    71,955x = 108,936 × 108,936
  4. Step 4: Simplify right side
    71,955x = 11,867,052,096
  5. Step 5: Solve for x
    x = 11,867,052,096/71,955
  6. Step 6: Final answer
    x = 164,923.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.