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Finding the Third Proportional to 76,194 and 164,051

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Solution

The third proportional to 76,194 and 164,051 is: 353,213.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,194 : 164,051 = 164,051 : x
  2. Step 2: Convert to fraction form
    76,194/164,051 = 164,051/x
  3. Step 3: Cross multiply
    76,194x = 164,051 × 164,051
  4. Step 4: Simplify right side
    76,194x = 26,912,730,601
  5. Step 5: Solve for x
    x = 26,912,730,601/76,194
  6. Step 6: Final answer
    x = 353,213.25

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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.