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Finding the Third Proportional to 51,674 and 113,224

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Solution

The third proportional to 51,674 and 113,224 is: 248,087.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,674 : 113,224 = 113,224 : x
  2. Step 2: Convert to fraction form
    51,674/113,224 = 113,224/x
  3. Step 3: Cross multiply
    51,674x = 113,224 × 113,224
  4. Step 4: Simplify right side
    51,674x = 12,819,674,176
  5. Step 5: Solve for x
    x = 12,819,674,176/51,674
  6. Step 6: Final answer
    x = 248,087.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.