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Finding the Third Proportional to 75,305 and 116,667

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Solution

The third proportional to 75,305 and 116,667 is: 180,747.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,305 : 116,667 = 116,667 : x
  2. Step 2: Convert to fraction form
    75,305/116,667 = 116,667/x
  3. Step 3: Cross multiply
    75,305x = 116,667 × 116,667
  4. Step 4: Simplify right side
    75,305x = 13,611,188,889
  5. Step 5: Solve for x
    x = 13,611,188,889/75,305
  6. Step 6: Final answer
    x = 180,747.48

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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.