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Finding the Third Proportional to 119,359 and 162,198

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Solution

The third proportional to 119,359 and 162,198 is: 220,412.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,359 : 162,198 = 162,198 : x
  2. Step 2: Convert to fraction form
    119,359/162,198 = 162,198/x
  3. Step 3: Cross multiply
    119,359x = 162,198 × 162,198
  4. Step 4: Simplify right side
    119,359x = 26,308,191,204
  5. Step 5: Solve for x
    x = 26,308,191,204/119,359
  6. Step 6: Final answer
    x = 220,412.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.