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Finding the Third Proportional to 53,831 and 115,024

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Solution

The third proportional to 53,831 and 115,024 is: 245,778.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,831 : 115,024 = 115,024 : x
  2. Step 2: Convert to fraction form
    53,831/115,024 = 115,024/x
  3. Step 3: Cross multiply
    53,831x = 115,024 × 115,024
  4. Step 4: Simplify right side
    53,831x = 13,230,520,576
  5. Step 5: Solve for x
    x = 13,230,520,576/53,831
  6. Step 6: Final answer
    x = 245,778.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.