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Finding the Third Proportional to 118,369 and 166,494

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Solution

The third proportional to 118,369 and 166,494 is: 234,185.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,369 : 166,494 = 166,494 : x
  2. Step 2: Convert to fraction form
    118,369/166,494 = 166,494/x
  3. Step 3: Cross multiply
    118,369x = 166,494 × 166,494
  4. Step 4: Simplify right side
    118,369x = 27,720,252,036
  5. Step 5: Solve for x
    x = 27,720,252,036/118,369
  6. Step 6: Final answer
    x = 234,185.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.