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Finding the Third Proportional to 71,194 and 151,168

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Solution

The third proportional to 71,194 and 151,168 is: 320,978.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,194 : 151,168 = 151,168 : x
  2. Step 2: Convert to fraction form
    71,194/151,168 = 151,168/x
  3. Step 3: Cross multiply
    71,194x = 151,168 × 151,168
  4. Step 4: Simplify right side
    71,194x = 22,851,764,224
  5. Step 5: Solve for x
    x = 22,851,764,224/71,194
  6. Step 6: Final answer
    x = 320,978.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.