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Finding the Third Proportional to 82,239.75 and 170,943.75

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Solution

The third proportional to 82,239.75 and 170,943.75 is: 355,324.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,239.75 : 170,943.75 = 170,943.75 : x
  2. Step 2: Convert to fraction form
    82,239.75/170,943.75 = 170,943.75/x
  3. Step 3: Cross multiply
    82,239.75x = 170,943.75 × 170,943.75
  4. Step 4: Simplify right side
    82,239.75x = 29,221,765,664.06
  5. Step 5: Solve for x
    x = 29,221,765,664.06/82,239.75
  6. Step 6: Final answer
    x = 355,324.11

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.