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Finding the Third Proportional to 126,571 and 178,014

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Solution

The third proportional to 126,571 and 178,014 is: 250,365.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,571 : 178,014 = 178,014 : x
  2. Step 2: Convert to fraction form
    126,571/178,014 = 178,014/x
  3. Step 3: Cross multiply
    126,571x = 178,014 × 178,014
  4. Step 4: Simplify right side
    126,571x = 31,688,984,196
  5. Step 5: Solve for x
    x = 31,688,984,196/126,571
  6. Step 6: Final answer
    x = 250,365.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.