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Finding the Third Proportional to 75,322 and 167,170

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Solution

The third proportional to 75,322 and 167,170 is: 371,017.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,322 : 167,170 = 167,170 : x
  2. Step 2: Convert to fraction form
    75,322/167,170 = 167,170/x
  3. Step 3: Cross multiply
    75,322x = 167,170 × 167,170
  4. Step 4: Simplify right side
    75,322x = 27,945,808,900
  5. Step 5: Solve for x
    x = 27,945,808,900/75,322
  6. Step 6: Final answer
    x = 371,017.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.