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Finding the Third Proportional to 79,924 and 162,211

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Solution

The third proportional to 79,924 and 162,211 is: 329,217.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,924 : 162,211 = 162,211 : x
  2. Step 2: Convert to fraction form
    79,924/162,211 = 162,211/x
  3. Step 3: Cross multiply
    79,924x = 162,211 × 162,211
  4. Step 4: Simplify right side
    79,924x = 26,312,408,521
  5. Step 5: Solve for x
    x = 26,312,408,521/79,924
  6. Step 6: Final answer
    x = 329,217.86

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.