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Finding the Third Proportional to 117,481 and 189,162

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Solution

The third proportional to 117,481 and 189,162 is: 304,579.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,481 : 189,162 = 189,162 : x
  2. Step 2: Convert to fraction form
    117,481/189,162 = 189,162/x
  3. Step 3: Cross multiply
    117,481x = 189,162 × 189,162
  4. Step 4: Simplify right side
    117,481x = 35,782,262,244
  5. Step 5: Solve for x
    x = 35,782,262,244/117,481
  6. Step 6: Final answer
    x = 304,579.14

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.