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Finding the Third Proportional to 114,751 and 189,634

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Solution

The third proportional to 114,751 and 189,634 is: 313,383.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,751 : 189,634 = 189,634 : x
  2. Step 2: Convert to fraction form
    114,751/189,634 = 189,634/x
  3. Step 3: Cross multiply
    114,751x = 189,634 × 189,634
  4. Step 4: Simplify right side
    114,751x = 35,961,053,956
  5. Step 5: Solve for x
    x = 35,961,053,956/114,751
  6. Step 6: Final answer
    x = 313,383.36

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.