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Finding the Third Proportional to 111,512.44 and 166,781.81

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Solution

The third proportional to 111,512.44 and 166,781.81 is: 249,444.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,512.44 : 166,781.81 = 166,781.81 : x
  2. Step 2: Convert to fraction form
    111,512.44/166,781.81 = 166,781.81/x
  3. Step 3: Cross multiply
    111,512.44x = 166,781.81 × 166,781.81
  4. Step 4: Simplify right side
    111,512.44x = 27,816,172,980.79
  5. Step 5: Solve for x
    x = 27,816,172,980.79/111,512.44
  6. Step 6: Final answer
    x = 249,444.58

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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.