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Finding the Third Proportional to 79,829 and 118,198

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Solution

The third proportional to 79,829 and 118,198 is: 175,008.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,829 : 118,198 = 118,198 : x
  2. Step 2: Convert to fraction form
    79,829/118,198 = 118,198/x
  3. Step 3: Cross multiply
    79,829x = 118,198 × 118,198
  4. Step 4: Simplify right side
    79,829x = 13,970,767,204
  5. Step 5: Solve for x
    x = 13,970,767,204/79,829
  6. Step 6: Final answer
    x = 175,008.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.