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Finding the Third Proportional to 76,845 and 164,796

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Solution

The third proportional to 76,845 and 164,796 is: 353,409.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,845 : 164,796 = 164,796 : x
  2. Step 2: Convert to fraction form
    76,845/164,796 = 164,796/x
  3. Step 3: Cross multiply
    76,845x = 164,796 × 164,796
  4. Step 4: Simplify right side
    76,845x = 27,157,721,616
  5. Step 5: Solve for x
    x = 27,157,721,616/76,845
  6. Step 6: Final answer
    x = 353,409.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.