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Finding the Third Proportional to 126,084 and 195,220

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Solution

The third proportional to 126,084 and 195,220 is: 302,265.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,084 : 195,220 = 195,220 : x
  2. Step 2: Convert to fraction form
    126,084/195,220 = 195,220/x
  3. Step 3: Cross multiply
    126,084x = 195,220 × 195,220
  4. Step 4: Simplify right side
    126,084x = 38,110,848,400
  5. Step 5: Solve for x
    x = 38,110,848,400/126,084
  6. Step 6: Final answer
    x = 302,265.54

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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.