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Finding the Third Proportional to 119,015 and 163,197

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Solution

The third proportional to 119,015 and 163,197 is: 223,780.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,015 : 163,197 = 163,197 : x
  2. Step 2: Convert to fraction form
    119,015/163,197 = 163,197/x
  3. Step 3: Cross multiply
    119,015x = 163,197 × 163,197
  4. Step 4: Simplify right side
    119,015x = 26,633,260,809
  5. Step 5: Solve for x
    x = 26,633,260,809/119,015
  6. Step 6: Final answer
    x = 223,780.71

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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.