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Finding the Third Proportional to 82,745.75 and 178,609.75

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Solution

The third proportional to 82,745.75 and 178,609.75 is: 385,535.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,745.75 : 178,609.75 = 178,609.75 : x
  2. Step 2: Convert to fraction form
    82,745.75/178,609.75 = 178,609.75/x
  3. Step 3: Cross multiply
    82,745.75x = 178,609.75 × 178,609.75
  4. Step 4: Simplify right side
    82,745.75x = 31,901,442,795.06
  5. Step 5: Solve for x
    x = 31,901,442,795.06/82,745.75
  6. Step 6: Final answer
    x = 385,535.73

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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.