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Finding the Third Proportional to 82,104 and 177,028

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Solution

The third proportional to 82,104 and 177,028 is: 381,697.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,104 : 177,028 = 177,028 : x
  2. Step 2: Convert to fraction form
    82,104/177,028 = 177,028/x
  3. Step 3: Cross multiply
    82,104x = 177,028 × 177,028
  4. Step 4: Simplify right side
    82,104x = 31,338,912,784
  5. Step 5: Solve for x
    x = 31,338,912,784/82,104
  6. Step 6: Final answer
    x = 381,697.76

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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.