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Finding the Third Proportional to 82,654 and 178,427

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Solution

The third proportional to 82,654 and 178,427 is: 385,174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,654 : 178,427 = 178,427 : x
  2. Step 2: Convert to fraction form
    82,654/178,427 = 178,427/x
  3. Step 3: Cross multiply
    82,654x = 178,427 × 178,427
  4. Step 4: Simplify right side
    82,654x = 31,836,194,329
  5. Step 5: Solve for x
    x = 31,836,194,329/82,654
  6. Step 6: Final answer
    x = 385,174.27

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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.