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Finding the Third Proportional to 39,078.38 and 84,081.75

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Solution

The third proportional to 39,078.38 and 84,081.75 is: 180,911.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,078.38 : 84,081.75 = 84,081.75 : x
  2. Step 2: Convert to fraction form
    39,078.38/84,081.75 = 84,081.75/x
  3. Step 3: Cross multiply
    39,078.38x = 84,081.75 × 84,081.75
  4. Step 4: Simplify right side
    39,078.38x = 7,069,740,683.06
  5. Step 5: Solve for x
    x = 7,069,740,683.06/39,078.38
  6. Step 6: Final answer
    x = 180,911.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.