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Finding the Third Proportional to 119,013 and 179,739

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Solution

The third proportional to 119,013 and 179,739 is: 271,450.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,013 : 179,739 = 179,739 : x
  2. Step 2: Convert to fraction form
    119,013/179,739 = 179,739/x
  3. Step 3: Cross multiply
    119,013x = 179,739 × 179,739
  4. Step 4: Simplify right side
    119,013x = 32,306,108,121
  5. Step 5: Solve for x
    x = 32,306,108,121/119,013
  6. Step 6: Final answer
    x = 271,450.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.