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Finding the Third Proportional to 76,184 and 114,204

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Solution

The third proportional to 76,184 and 114,204 is: 171,198.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,184 : 114,204 = 114,204 : x
  2. Step 2: Convert to fraction form
    76,184/114,204 = 114,204/x
  3. Step 3: Cross multiply
    76,184x = 114,204 × 114,204
  4. Step 4: Simplify right side
    76,184x = 13,042,553,616
  5. Step 5: Solve for x
    x = 13,042,553,616/76,184
  6. Step 6: Final answer
    x = 171,198.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.