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Finding the Third Proportional to 70,194 and 150,054

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Solution

The third proportional to 70,194 and 150,054 is: 320,771.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,194 : 150,054 = 150,054 : x
  2. Step 2: Convert to fraction form
    70,194/150,054 = 150,054/x
  3. Step 3: Cross multiply
    70,194x = 150,054 × 150,054
  4. Step 4: Simplify right side
    70,194x = 22,516,202,916
  5. Step 5: Solve for x
    x = 22,516,202,916/70,194
  6. Step 6: Final answer
    x = 320,771.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.