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Finding the Third Proportional to 110,576 and 165,689

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Solution

The third proportional to 110,576 and 165,689 is: 248,271.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,576 : 165,689 = 165,689 : x
  2. Step 2: Convert to fraction form
    110,576/165,689 = 165,689/x
  3. Step 3: Cross multiply
    110,576x = 165,689 × 165,689
  4. Step 4: Simplify right side
    110,576x = 27,452,844,721
  5. Step 5: Solve for x
    x = 27,452,844,721/110,576
  6. Step 6: Final answer
    x = 248,271.28

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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.