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Finding the Third Proportional to 80,268 and 127,206

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Solution

The third proportional to 80,268 and 127,206 is: 201,591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,268 : 127,206 = 127,206 : x
  2. Step 2: Convert to fraction form
    80,268/127,206 = 127,206/x
  3. Step 3: Cross multiply
    80,268x = 127,206 × 127,206
  4. Step 4: Simplify right side
    80,268x = 16,181,366,436
  5. Step 5: Solve for x
    x = 16,181,366,436/80,268
  6. Step 6: Final answer
    x = 201,591.75

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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.