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Finding the Third Proportional to 126,818 and 274,771

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Solution

The third proportional to 126,818 and 274,771 is: 595,334.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,818 : 274,771 = 274,771 : x
  2. Step 2: Convert to fraction form
    126,818/274,771 = 274,771/x
  3. Step 3: Cross multiply
    126,818x = 274,771 × 274,771
  4. Step 4: Simplify right side
    126,818x = 75,499,102,441
  5. Step 5: Solve for x
    x = 75,499,102,441/126,818
  6. Step 6: Final answer
    x = 595,334.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.