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Finding the Third Proportional to 135,189 and 195,813

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Solution

The third proportional to 135,189 and 195,813 is: 283,623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,189 : 195,813 = 195,813 : x
  2. Step 2: Convert to fraction form
    135,189/195,813 = 195,813/x
  3. Step 3: Cross multiply
    135,189x = 195,813 × 195,813
  4. Step 4: Simplify right side
    135,189x = 38,342,730,969
  5. Step 5: Solve for x
    x = 38,342,730,969/135,189
  6. Step 6: Final answer
    x = 283,623.16

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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.