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Finding the Third Proportional to 135,211 and 195,840.25

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Solution

The third proportional to 135,211 and 195,840.25 is: 283,655.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,211 : 195,840.25 = 195,840.25 : x
  2. Step 2: Convert to fraction form
    135,211/195,840.25 = 195,840.25/x
  3. Step 3: Cross multiply
    135,211x = 195,840.25 × 195,840.25
  4. Step 4: Simplify right side
    135,211x = 38,353,403,520.06
  5. Step 5: Solve for x
    x = 38,353,403,520.06/135,211
  6. Step 6: Final answer
    x = 283,655.94

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.