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Finding the Third Proportional to 110,769 and 166,119

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Solution

The third proportional to 110,769 and 166,119 is: 249,126.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,769 : 166,119 = 166,119 : x
  2. Step 2: Convert to fraction form
    110,769/166,119 = 166,119/x
  3. Step 3: Cross multiply
    110,769x = 166,119 × 166,119
  4. Step 4: Simplify right side
    110,769x = 27,595,522,161
  5. Step 5: Solve for x
    x = 27,595,522,161/110,769
  6. Step 6: Final answer
    x = 249,126.76

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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.