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Finding the Third Proportional to 119,699.38 and 180,976.75

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Solution

The third proportional to 119,699.38 and 180,976.75 is: 273,623.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,699.38 : 180,976.75 = 180,976.75 : x
  2. Step 2: Convert to fraction form
    119,699.38/180,976.75 = 180,976.75/x
  3. Step 3: Cross multiply
    119,699.38x = 180,976.75 × 180,976.75
  4. Step 4: Simplify right side
    119,699.38x = 32,752,584,040.56
  5. Step 5: Solve for x
    x = 32,752,584,040.56/119,699.38
  6. Step 6: Final answer
    x = 273,623.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.