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Finding the Third Proportional to 110,797 and 166,150

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Solution

The third proportional to 110,797 and 166,150 is: 249,156.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,797 : 166,150 = 166,150 : x
  2. Step 2: Convert to fraction form
    110,797/166,150 = 166,150/x
  3. Step 3: Cross multiply
    110,797x = 166,150 × 166,150
  4. Step 4: Simplify right side
    110,797x = 27,605,822,500
  5. Step 5: Solve for x
    x = 27,605,822,500/110,797
  6. Step 6: Final answer
    x = 249,156.77

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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.