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Finding the Third Proportional to 82,059 and 177,699

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Solution

The third proportional to 82,059 and 177,699 is: 384,807.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,059 : 177,699 = 177,699 : x
  2. Step 2: Convert to fraction form
    82,059/177,699 = 177,699/x
  3. Step 3: Cross multiply
    82,059x = 177,699 × 177,699
  4. Step 4: Simplify right side
    82,059x = 31,576,934,601
  5. Step 5: Solve for x
    x = 31,576,934,601/82,059
  6. Step 6: Final answer
    x = 384,807.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.