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Finding the Third Proportional to 110,772 and 166,269

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Solution

The third proportional to 110,772 and 166,269 is: 249,570.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,772 : 166,269 = 166,269 : x
  2. Step 2: Convert to fraction form
    110,772/166,269 = 166,269/x
  3. Step 3: Cross multiply
    110,772x = 166,269 × 166,269
  4. Step 4: Simplify right side
    110,772x = 27,645,380,361
  5. Step 5: Solve for x
    x = 27,645,380,361/110,772
  6. Step 6: Final answer
    x = 249,570.11

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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.