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Finding the Third Proportional to 39,019 and 84,193

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Solution

The third proportional to 39,019 and 84,193 is: 181,666.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,019 : 84,193 = 84,193 : x
  2. Step 2: Convert to fraction form
    39,019/84,193 = 84,193/x
  3. Step 3: Cross multiply
    39,019x = 84,193 × 84,193
  4. Step 4: Simplify right side
    39,019x = 7,088,461,249
  5. Step 5: Solve for x
    x = 7,088,461,249/39,019
  6. Step 6: Final answer
    x = 181,666.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.