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Finding the Third Proportional to 70,195 and 109,099

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Solution

The third proportional to 70,195 and 109,099 is: 169,564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,195 : 109,099 = 109,099 : x
  2. Step 2: Convert to fraction form
    70,195/109,099 = 109,099/x
  3. Step 3: Cross multiply
    70,195x = 109,099 × 109,099
  4. Step 4: Simplify right side
    70,195x = 11,902,591,801
  5. Step 5: Solve for x
    x = 11,902,591,801/70,195
  6. Step 6: Final answer
    x = 169,564.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.