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Finding the Third Proportional to 119,877 and 180,123

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Solution

The third proportional to 119,877 and 180,123 is: 270,646.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,877 : 180,123 = 180,123 : x
  2. Step 2: Convert to fraction form
    119,877/180,123 = 180,123/x
  3. Step 3: Cross multiply
    119,877x = 180,123 × 180,123
  4. Step 4: Simplify right side
    119,877x = 32,444,295,129
  5. Step 5: Solve for x
    x = 32,444,295,129/119,877
  6. Step 6: Final answer
    x = 270,646.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.