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Finding the Third Proportional to 40,112 and 60,168

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Solution

The third proportional to 40,112 and 60,168 is: 90,252

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,112 : 60,168 = 60,168 : x
  2. Step 2: Convert to fraction form
    40,112/60,168 = 60,168/x
  3. Step 3: Cross multiply
    40,112x = 60,168 × 60,168
  4. Step 4: Simplify right side
    40,112x = 3,620,188,224
  5. Step 5: Solve for x
    x = 3,620,188,224/40,112
  6. Step 6: Final answer
    x = 90,252

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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.