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Finding the Third Proportional to 75,954 and 166,203

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Solution

The third proportional to 75,954 and 166,203 is: 363,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,954 : 166,203 = 166,203 : x
  2. Step 2: Convert to fraction form
    75,954/166,203 = 166,203/x
  3. Step 3: Cross multiply
    75,954x = 166,203 × 166,203
  4. Step 4: Simplify right side
    75,954x = 27,623,437,209
  5. Step 5: Solve for x
    x = 27,623,437,209/75,954
  6. Step 6: Final answer
    x = 363,686.41

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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.