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Finding the Third Proportional to 71,225 and 166,395

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Solution

The third proportional to 71,225 and 166,395 is: 388,730.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,225 : 166,395 = 166,395 : x
  2. Step 2: Convert to fraction form
    71,225/166,395 = 166,395/x
  3. Step 3: Cross multiply
    71,225x = 166,395 × 166,395
  4. Step 4: Simplify right side
    71,225x = 27,687,296,025
  5. Step 5: Solve for x
    x = 27,687,296,025/71,225
  6. Step 6: Final answer
    x = 388,730.02

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.