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Finding the Third Proportional to 119,013 and 163,194

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Solution

The third proportional to 119,013 and 163,194 is: 223,776.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,013 : 163,194 = 163,194 : x
  2. Step 2: Convert to fraction form
    119,013/163,194 = 163,194/x
  3. Step 3: Cross multiply
    119,013x = 163,194 × 163,194
  4. Step 4: Simplify right side
    119,013x = 26,632,281,636
  5. Step 5: Solve for x
    x = 26,632,281,636/119,013
  6. Step 6: Final answer
    x = 223,776.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.