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Finding the Third Proportional to 94,912 and 142,104

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Solution

The third proportional to 94,912 and 142,104 is: 212,760.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,912 : 142,104 = 142,104 : x
  2. Step 2: Convert to fraction form
    94,912/142,104 = 142,104/x
  3. Step 3: Cross multiply
    94,912x = 142,104 × 142,104
  4. Step 4: Simplify right side
    94,912x = 20,193,546,816
  5. Step 5: Solve for x
    x = 20,193,546,816/94,912
  6. Step 6: Final answer
    x = 212,760.73

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Why These Related Problems?

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