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Finding the Third Proportional to 110,620 and 166,482

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Solution

The third proportional to 110,620 and 166,482 is: 250,553.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,620 : 166,482 = 166,482 : x
  2. Step 2: Convert to fraction form
    110,620/166,482 = 166,482/x
  3. Step 3: Cross multiply
    110,620x = 166,482 × 166,482
  4. Step 4: Simplify right side
    110,620x = 27,716,256,324
  5. Step 5: Solve for x
    x = 27,716,256,324/110,620
  6. Step 6: Final answer
    x = 250,553.75

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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.