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Finding the Third Proportional to 76,852 and 166,832

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Solution

The third proportional to 76,852 and 166,832 is: 362,162.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,852 : 166,832 = 166,832 : x
  2. Step 2: Convert to fraction form
    76,852/166,832 = 166,832/x
  3. Step 3: Cross multiply
    76,852x = 166,832 × 166,832
  4. Step 4: Simplify right side
    76,852x = 27,832,916,224
  5. Step 5: Solve for x
    x = 27,832,916,224/76,852
  6. Step 6: Final answer
    x = 362,162.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.