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Finding the Third Proportional to 76,191 and 164,045

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Solution

The third proportional to 76,191 and 164,045 is: 353,201.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,191 : 164,045 = 164,045 : x
  2. Step 2: Convert to fraction form
    76,191/164,045 = 164,045/x
  3. Step 3: Cross multiply
    76,191x = 164,045 × 164,045
  4. Step 4: Simplify right side
    76,191x = 26,910,762,025
  5. Step 5: Solve for x
    x = 26,910,762,025/76,191
  6. Step 6: Final answer
    x = 353,201.32

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