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Finding the Third Proportional to 119,021 and 163,206

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Solution

The third proportional to 119,021 and 163,206 is: 223,794.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,021 : 163,206 = 163,206 : x
  2. Step 2: Convert to fraction form
    119,021/163,206 = 163,206/x
  3. Step 3: Cross multiply
    119,021x = 163,206 × 163,206
  4. Step 4: Simplify right side
    119,021x = 26,636,198,436
  5. Step 5: Solve for x
    x = 26,636,198,436/119,021
  6. Step 6: Final answer
    x = 223,794.11

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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.