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Finding the Third Proportional to 119,898 and 180,156

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Solution

The third proportional to 119,898 and 180,156 is: 270,698.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,898 : 180,156 = 180,156 : x
  2. Step 2: Convert to fraction form
    119,898/180,156 = 180,156/x
  3. Step 3: Cross multiply
    119,898x = 180,156 × 180,156
  4. Step 4: Simplify right side
    119,898x = 32,456,184,336
  5. Step 5: Solve for x
    x = 32,456,184,336/119,898
  6. Step 6: Final answer
    x = 270,698.30

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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.