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Finding the Third Proportional to 81,462 and 174,021

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Solution

The third proportional to 81,462 and 174,021 is: 371,747.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,462 : 174,021 = 174,021 : x
  2. Step 2: Convert to fraction form
    81,462/174,021 = 174,021/x
  3. Step 3: Cross multiply
    81,462x = 174,021 × 174,021
  4. Step 4: Simplify right side
    81,462x = 30,283,308,441
  5. Step 5: Solve for x
    x = 30,283,308,441/81,462
  6. Step 6: Final answer
    x = 371,747.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.