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Finding the Third Proportional to 109,546 and 166,368

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Solution

The third proportional to 109,546 and 166,368 is: 252,663.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,546 : 166,368 = 166,368 : x
  2. Step 2: Convert to fraction form
    109,546/166,368 = 166,368/x
  3. Step 3: Cross multiply
    109,546x = 166,368 × 166,368
  4. Step 4: Simplify right side
    109,546x = 27,678,311,424
  5. Step 5: Solve for x
    x = 27,678,311,424/109,546
  6. Step 6: Final answer
    x = 252,663.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.