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Finding the Third Proportional to 39,068 and 86,104

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Solution

The third proportional to 39,068 and 86,104 is: 189,769.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,068 : 86,104 = 86,104 : x
  2. Step 2: Convert to fraction form
    39,068/86,104 = 86,104/x
  3. Step 3: Cross multiply
    39,068x = 86,104 × 86,104
  4. Step 4: Simplify right side
    39,068x = 7,413,898,816
  5. Step 5: Solve for x
    x = 7,413,898,816/39,068
  6. Step 6: Final answer
    x = 189,769.09

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Why These Related Problems?

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