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Finding the Third Proportional to 118,366 and 166,489

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Solution

The third proportional to 118,366 and 166,489 is: 234,176.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,366 : 166,489 = 166,489 : x
  2. Step 2: Convert to fraction form
    118,366/166,489 = 166,489/x
  3. Step 3: Cross multiply
    118,366x = 166,489 × 166,489
  4. Step 4: Simplify right side
    118,366x = 27,718,587,121
  5. Step 5: Solve for x
    x = 27,718,587,121/118,366
  6. Step 6: Final answer
    x = 234,176.94

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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.