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Finding the Third Proportional to 53,367 and 115,005

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Solution

The third proportional to 53,367 and 115,005 is: 247,833.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,367 : 115,005 = 115,005 : x
  2. Step 2: Convert to fraction form
    53,367/115,005 = 115,005/x
  3. Step 3: Cross multiply
    53,367x = 115,005 × 115,005
  4. Step 4: Simplify right side
    53,367x = 13,226,150,025
  5. Step 5: Solve for x
    x = 13,226,150,025/53,367
  6. Step 6: Final answer
    x = 247,833.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.