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Finding the Third Proportional to 39,169 and 86,114

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Solution

The third proportional to 39,169 and 86,114 is: 189,323.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,169 : 86,114 = 86,114 : x
  2. Step 2: Convert to fraction form
    39,169/86,114 = 86,114/x
  3. Step 3: Cross multiply
    39,169x = 86,114 × 86,114
  4. Step 4: Simplify right side
    39,169x = 7,415,620,996
  5. Step 5: Solve for x
    x = 7,415,620,996/39,169
  6. Step 6: Final answer
    x = 189,323.73

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.