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Finding the Third Proportional to 63,504 and 138,296

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Solution

The third proportional to 63,504 and 138,296 is: 301,174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,504 : 138,296 = 138,296 : x
  2. Step 2: Convert to fraction form
    63,504/138,296 = 138,296/x
  3. Step 3: Cross multiply
    63,504x = 138,296 × 138,296
  4. Step 4: Simplify right side
    63,504x = 19,125,783,616
  5. Step 5: Solve for x
    x = 19,125,783,616/63,504
  6. Step 6: Final answer
    x = 301,174.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.