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Finding the Third Proportional to 51,992 and 113,856

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Solution

The third proportional to 51,992 and 113,856 is: 249,330.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,992 : 113,856 = 113,856 : x
  2. Step 2: Convert to fraction form
    51,992/113,856 = 113,856/x
  3. Step 3: Cross multiply
    51,992x = 113,856 × 113,856
  4. Step 4: Simplify right side
    51,992x = 12,963,188,736
  5. Step 5: Solve for x
    x = 12,963,188,736/51,992
  6. Step 6: Final answer
    x = 249,330.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.