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Finding the Third Proportional to 82,883.25 and 131,442.75

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Solution

The third proportional to 82,883.25 and 131,442.75 is: 208,452.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,883.25 : 131,442.75 = 131,442.75 : x
  2. Step 2: Convert to fraction form
    82,883.25/131,442.75 = 131,442.75/x
  3. Step 3: Cross multiply
    82,883.25x = 131,442.75 × 131,442.75
  4. Step 4: Simplify right side
    82,883.25x = 17,277,196,527.56
  5. Step 5: Solve for x
    x = 17,277,196,527.56/82,883.25
  6. Step 6: Final answer
    x = 208,452.21

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.