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Finding the Third Proportional to 76,622 and 164,476

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Solution

The third proportional to 76,622 and 164,476 is: 353,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,622 : 164,476 = 164,476 : x
  2. Step 2: Convert to fraction form
    76,622/164,476 = 164,476/x
  3. Step 3: Cross multiply
    76,622x = 164,476 × 164,476
  4. Step 4: Simplify right side
    76,622x = 27,052,354,576
  5. Step 5: Solve for x
    x = 27,052,354,576/76,622
  6. Step 6: Final answer
    x = 353,062.50

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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.