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Finding the Third Proportional to 94,828 and 142,494

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Solution

The third proportional to 94,828 and 142,494 is: 214,119.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,828 : 142,494 = 142,494 : x
  2. Step 2: Convert to fraction form
    94,828/142,494 = 142,494/x
  3. Step 3: Cross multiply
    94,828x = 142,494 × 142,494
  4. Step 4: Simplify right side
    94,828x = 20,304,540,036
  5. Step 5: Solve for x
    x = 20,304,540,036/94,828
  6. Step 6: Final answer
    x = 214,119.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.