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Finding the Third Proportional to 53,494 and 115,908

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Solution

The third proportional to 53,494 and 115,908 is: 251,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,494 : 115,908 = 115,908 : x
  2. Step 2: Convert to fraction form
    53,494/115,908 = 115,908/x
  3. Step 3: Cross multiply
    53,494x = 115,908 × 115,908
  4. Step 4: Simplify right side
    53,494x = 13,434,664,464
  5. Step 5: Solve for x
    x = 13,434,664,464/53,494
  6. Step 6: Final answer
    x = 251,143.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.