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Finding the Third Proportional to 119,910 and 180,174

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Solution

The third proportional to 119,910 and 180,174 is: 270,725.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,910 : 180,174 = 180,174 : x
  2. Step 2: Convert to fraction form
    119,910/180,174 = 180,174/x
  3. Step 3: Cross multiply
    119,910x = 180,174 × 180,174
  4. Step 4: Simplify right side
    119,910x = 32,462,670,276
  5. Step 5: Solve for x
    x = 32,462,670,276/119,910
  6. Step 6: Final answer
    x = 270,725.30

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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.