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Finding the Third Proportional to 111,134 and 166,713

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Solution

The third proportional to 111,134 and 166,713 is: 250,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,134 : 166,713 = 166,713 : x
  2. Step 2: Convert to fraction form
    111,134/166,713 = 166,713/x
  3. Step 3: Cross multiply
    111,134x = 166,713 × 166,713
  4. Step 4: Simplify right side
    111,134x = 27,793,224,369
  5. Step 5: Solve for x
    x = 27,793,224,369/111,134
  6. Step 6: Final answer
    x = 250,087.50

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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.