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Finding the Third Proportional to 119,019 and 163,203

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Solution

The third proportional to 119,019 and 163,203 is: 223,789.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,019 : 163,203 = 163,203 : x
  2. Step 2: Convert to fraction form
    119,019/163,203 = 163,203/x
  3. Step 3: Cross multiply
    119,019x = 163,203 × 163,203
  4. Step 4: Simplify right side
    119,019x = 26,635,219,209
  5. Step 5: Solve for x
    x = 26,635,219,209/119,019
  6. Step 6: Final answer
    x = 223,789.64

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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.