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Finding the Third Proportional to 76,646 and 166,792

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Solution

The third proportional to 76,646 and 166,792 is: 362,961.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,646 : 166,792 = 166,792 : x
  2. Step 2: Convert to fraction form
    76,646/166,792 = 166,792/x
  3. Step 3: Cross multiply
    76,646x = 166,792 × 166,792
  4. Step 4: Simplify right side
    76,646x = 27,819,571,264
  5. Step 5: Solve for x
    x = 27,819,571,264/76,646
  6. Step 6: Final answer
    x = 362,961.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.