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Finding the Third Proportional to 80,838 and 127,467

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Solution

The third proportional to 80,838 and 127,467 is: 200,992.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,838 : 127,467 = 127,467 : x
  2. Step 2: Convert to fraction form
    80,838/127,467 = 127,467/x
  3. Step 3: Cross multiply
    80,838x = 127,467 × 127,467
  4. Step 4: Simplify right side
    80,838x = 16,247,836,089
  5. Step 5: Solve for x
    x = 16,247,836,089/80,838
  6. Step 6: Final answer
    x = 200,992.55

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.