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Finding the Third Proportional to 51,246 and 109,296

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Solution

The third proportional to 51,246 and 109,296 is: 233,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,246 : 109,296 = 109,296 : x
  2. Step 2: Convert to fraction form
    51,246/109,296 = 109,296/x
  3. Step 3: Cross multiply
    51,246x = 109,296 × 109,296
  4. Step 4: Simplify right side
    51,246x = 11,945,615,616
  5. Step 5: Solve for x
    x = 11,945,615,616/51,246
  6. Step 6: Final answer
    x = 233,103.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.