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Finding the Third Proportional to 53,118 and 115,896

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Solution

The third proportional to 53,118 and 115,896 is: 252,868.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,118 : 115,896 = 115,896 : x
  2. Step 2: Convert to fraction form
    53,118/115,896 = 115,896/x
  3. Step 3: Cross multiply
    53,118x = 115,896 × 115,896
  4. Step 4: Simplify right side
    53,118x = 13,431,882,816
  5. Step 5: Solve for x
    x = 13,431,882,816/53,118
  6. Step 6: Final answer
    x = 252,868.76

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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.