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Finding the Third Proportional to 76,278 and 164,035

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Solution

The third proportional to 76,278 and 164,035 is: 352,755.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,278 : 164,035 = 164,035 : x
  2. Step 2: Convert to fraction form
    76,278/164,035 = 164,035/x
  3. Step 3: Cross multiply
    76,278x = 164,035 × 164,035
  4. Step 4: Simplify right side
    76,278x = 26,907,481,225
  5. Step 5: Solve for x
    x = 26,907,481,225/76,278
  6. Step 6: Final answer
    x = 352,755.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.