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Finding the Third Proportional to 73,665 and 161,667

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Solution

The third proportional to 73,665 and 161,667 is: 354,798.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,665 : 161,667 = 161,667 : x
  2. Step 2: Convert to fraction form
    73,665/161,667 = 161,667/x
  3. Step 3: Cross multiply
    73,665x = 161,667 × 161,667
  4. Step 4: Simplify right side
    73,665x = 26,136,218,889
  5. Step 5: Solve for x
    x = 26,136,218,889/73,665
  6. Step 6: Final answer
    x = 354,798.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.