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Finding the Third Proportional to 84,576 and 182,144

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Solution

The third proportional to 84,576 and 182,144 is: 392,267.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,576 : 182,144 = 182,144 : x
  2. Step 2: Convert to fraction form
    84,576/182,144 = 182,144/x
  3. Step 3: Cross multiply
    84,576x = 182,144 × 182,144
  4. Step 4: Simplify right side
    84,576x = 33,176,436,736
  5. Step 5: Solve for x
    x = 33,176,436,736/84,576
  6. Step 6: Final answer
    x = 392,267.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.