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Finding the Third Proportional to 111,754.69 and 168,090.19

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Solution

The third proportional to 111,754.69 and 168,090.19 is: 252,824.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,754.69 : 168,090.19 = 168,090.19 : x
  2. Step 2: Convert to fraction form
    111,754.69/168,090.19 = 168,090.19/x
  3. Step 3: Cross multiply
    111,754.69x = 168,090.19 × 168,090.19
  4. Step 4: Simplify right side
    111,754.69x = 28,254,311,133.79
  5. Step 5: Solve for x
    x = 28,254,311,133.79/111,754.69
  6. Step 6: Final answer
    x = 252,824.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.