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Finding the Third Proportional to 119,814 and 181,908

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Solution

The third proportional to 119,814 and 181,908 is: 276,182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,814 : 181,908 = 181,908 : x
  2. Step 2: Convert to fraction form
    119,814/181,908 = 181,908/x
  3. Step 3: Cross multiply
    119,814x = 181,908 × 181,908
  4. Step 4: Simplify right side
    119,814x = 33,090,520,464
  5. Step 5: Solve for x
    x = 33,090,520,464/119,814
  6. Step 6: Final answer
    x = 276,182.42

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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.