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Finding the Third Proportional to 82,874 and 131,435.50

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Solution

The third proportional to 82,874 and 131,435.50 is: 208,452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,874 : 131,435.50 = 131,435.50 : x
  2. Step 2: Convert to fraction form
    82,874/131,435.50 = 131,435.50/x
  3. Step 3: Cross multiply
    82,874x = 131,435.50 × 131,435.50
  4. Step 4: Simplify right side
    82,874x = 17,275,290,660.25
  5. Step 5: Solve for x
    x = 17,275,290,660.25/82,874
  6. Step 6: Final answer
    x = 208,452.48

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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.