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Finding the Third Proportional to 39,083.13 and 84,195.07

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Solution

The third proportional to 39,083.13 and 84,195.07 is: 181,377.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,083.13 : 84,195.07 = 84,195.07 : x
  2. Step 2: Convert to fraction form
    39,083.13/84,195.07 = 84,195.07/x
  3. Step 3: Cross multiply
    39,083.13x = 84,195.07 × 84,195.07
  4. Step 4: Simplify right side
    39,083.13x = 7,088,809,864.93
  5. Step 5: Solve for x
    x = 7,088,809,864.93/39,083.13
  6. Step 6: Final answer
    x = 181,377.73

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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.