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Finding the Third Proportional to 119,673 and 181,996

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Solution

The third proportional to 119,673 and 181,996 is: 276,775.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,673 : 181,996 = 181,996 : x
  2. Step 2: Convert to fraction form
    119,673/181,996 = 181,996/x
  3. Step 3: Cross multiply
    119,673x = 181,996 × 181,996
  4. Step 4: Simplify right side
    119,673x = 33,122,544,016
  5. Step 5: Solve for x
    x = 33,122,544,016/119,673
  6. Step 6: Final answer
    x = 276,775.41

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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.