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Finding the Third Proportional to 84,052 and 179,336

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Solution

The third proportional to 84,052 and 179,336 is: 382,636.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,052 : 179,336 = 179,336 : x
  2. Step 2: Convert to fraction form
    84,052/179,336 = 179,336/x
  3. Step 3: Cross multiply
    84,052x = 179,336 × 179,336
  4. Step 4: Simplify right side
    84,052x = 32,161,400,896
  5. Step 5: Solve for x
    x = 32,161,400,896/84,052
  6. Step 6: Final answer
    x = 382,636.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.