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Finding the Third Proportional to 59,992 and 127,366

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Solution

The third proportional to 59,992 and 127,366 is: 270,404.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,992 : 127,366 = 127,366 : x
  2. Step 2: Convert to fraction form
    59,992/127,366 = 127,366/x
  3. Step 3: Cross multiply
    59,992x = 127,366 × 127,366
  4. Step 4: Simplify right side
    59,992x = 16,222,097,956
  5. Step 5: Solve for x
    x = 16,222,097,956/59,992
  6. Step 6: Final answer
    x = 270,404.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.