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Finding the Third Proportional to 116,864 and 252,112

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Solution

The third proportional to 116,864 and 252,112 is: 543,884.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,864 : 252,112 = 252,112 : x
  2. Step 2: Convert to fraction form
    116,864/252,112 = 252,112/x
  3. Step 3: Cross multiply
    116,864x = 252,112 × 252,112
  4. Step 4: Simplify right side
    116,864x = 63,560,460,544
  5. Step 5: Solve for x
    x = 63,560,460,544/116,864
  6. Step 6: Final answer
    x = 543,884.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.