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Finding the Third Proportional to 119,689.25 and 182,021.25

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Solution

The third proportional to 119,689.25 and 182,021.25 is: 276,814.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,689.25 : 182,021.25 = 182,021.25 : x
  2. Step 2: Convert to fraction form
    119,689.25/182,021.25 = 182,021.25/x
  3. Step 3: Cross multiply
    119,689.25x = 182,021.25 × 182,021.25
  4. Step 4: Simplify right side
    119,689.25x = 33,131,735,451.56
  5. Step 5: Solve for x
    x = 33,131,735,451.56/119,689.25
  6. Step 6: Final answer
    x = 276,814.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.