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Finding the Third Proportional to 111,178 and 166,463

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Solution

The third proportional to 111,178 and 166,463 is: 249,239.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,178 : 166,463 = 166,463 : x
  2. Step 2: Convert to fraction form
    111,178/166,463 = 166,463/x
  3. Step 3: Cross multiply
    111,178x = 166,463 × 166,463
  4. Step 4: Simplify right side
    111,178x = 27,709,930,369
  5. Step 5: Solve for x
    x = 27,709,930,369/111,178
  6. Step 6: Final answer
    x = 249,239.33

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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.