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Finding the Third Proportional to 53,016 and 113,208

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Solution

The third proportional to 53,016 and 113,208 is: 241,739.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,016 : 113,208 = 113,208 : x
  2. Step 2: Convert to fraction form
    53,016/113,208 = 113,208/x
  3. Step 3: Cross multiply
    53,016x = 113,208 × 113,208
  4. Step 4: Simplify right side
    53,016x = 12,816,051,264
  5. Step 5: Solve for x
    x = 12,816,051,264/53,016
  6. Step 6: Final answer
    x = 241,739.31

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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.