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Finding the Third Proportional to 39,092.63 and 84,108.38

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Solution

The third proportional to 39,092.63 and 84,108.38 is: 180,960.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,092.63 : 84,108.38 = 84,108.38 : x
  2. Step 2: Convert to fraction form
    39,092.63/84,108.38 = 84,108.38/x
  3. Step 3: Cross multiply
    39,092.63x = 84,108.38 × 84,108.38
  4. Step 4: Simplify right side
    39,092.63x = 7,074,218,745.14
  5. Step 5: Solve for x
    x = 7,074,218,745.14/39,092.63
  6. Step 6: Final answer
    x = 180,960.44

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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.