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Finding the Third Proportional to 110,616 and 166,476

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Solution

The third proportional to 110,616 and 166,476 is: 250,544.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,616 : 166,476 = 166,476 : x
  2. Step 2: Convert to fraction form
    110,616/166,476 = 166,476/x
  3. Step 3: Cross multiply
    110,616x = 166,476 × 166,476
  4. Step 4: Simplify right side
    110,616x = 27,714,258,576
  5. Step 5: Solve for x
    x = 27,714,258,576/110,616
  6. Step 6: Final answer
    x = 250,544.75

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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.