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Finding the Third Proportional to 76,648 and 166,796

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Solution

The third proportional to 76,648 and 166,796 is: 362,969.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,648 : 166,796 = 166,796 : x
  2. Step 2: Convert to fraction form
    76,648/166,796 = 166,796/x
  3. Step 3: Cross multiply
    76,648x = 166,796 × 166,796
  4. Step 4: Simplify right side
    76,648x = 27,820,905,616
  5. Step 5: Solve for x
    x = 27,820,905,616/76,648
  6. Step 6: Final answer
    x = 362,969.75

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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.