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Finding the Third Proportional to 76,398 and 168,027

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Solution

The third proportional to 76,398 and 168,027 is: 369,552.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,398 : 168,027 = 168,027 : x
  2. Step 2: Convert to fraction form
    76,398/168,027 = 168,027/x
  3. Step 3: Cross multiply
    76,398x = 168,027 × 168,027
  4. Step 4: Simplify right side
    76,398x = 28,233,072,729
  5. Step 5: Solve for x
    x = 28,233,072,729/76,398
  6. Step 6: Final answer
    x = 369,552.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.