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Finding the Third Proportional to 53,872 and 115,682

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Solution

The third proportional to 53,872 and 115,682 is: 248,409.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,872 : 115,682 = 115,682 : x
  2. Step 2: Convert to fraction form
    53,872/115,682 = 115,682/x
  3. Step 3: Cross multiply
    53,872x = 115,682 × 115,682
  4. Step 4: Simplify right side
    53,872x = 13,382,325,124
  5. Step 5: Solve for x
    x = 13,382,325,124/53,872
  6. Step 6: Final answer
    x = 248,409.66

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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.