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Finding the Third Proportional to 83,408 and 122,194

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Solution

The third proportional to 83,408 and 122,194 is: 179,016.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,408 : 122,194 = 122,194 : x
  2. Step 2: Convert to fraction form
    83,408/122,194 = 122,194/x
  3. Step 3: Cross multiply
    83,408x = 122,194 × 122,194
  4. Step 4: Simplify right side
    83,408x = 14,931,373,636
  5. Step 5: Solve for x
    x = 14,931,373,636/83,408
  6. Step 6: Final answer
    x = 179,016.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.