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Finding the Third Proportional to 74,667 and 161,208

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Solution

The third proportional to 74,667 and 161,208 is: 348,052.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,667 : 161,208 = 161,208 : x
  2. Step 2: Convert to fraction form
    74,667/161,208 = 161,208/x
  3. Step 3: Cross multiply
    74,667x = 161,208 × 161,208
  4. Step 4: Simplify right side
    74,667x = 25,988,019,264
  5. Step 5: Solve for x
    x = 25,988,019,264/74,667
  6. Step 6: Final answer
    x = 348,052.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.