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Finding the Third Proportional to 82,741 and 178,601

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Solution

The third proportional to 82,741 and 178,601 is: 385,520.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,741 : 178,601 = 178,601 : x
  2. Step 2: Convert to fraction form
    82,741/178,601 = 178,601/x
  3. Step 3: Cross multiply
    82,741x = 178,601 × 178,601
  4. Step 4: Simplify right side
    82,741x = 31,898,317,201
  5. Step 5: Solve for x
    x = 31,898,317,201/82,741
  6. Step 6: Final answer
    x = 385,520.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.