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Finding the Third Proportional to 76,891 and 166,415

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Solution

The third proportional to 76,891 and 166,415 is: 360,171.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,891 : 166,415 = 166,415 : x
  2. Step 2: Convert to fraction form
    76,891/166,415 = 166,415/x
  3. Step 3: Cross multiply
    76,891x = 166,415 × 166,415
  4. Step 4: Simplify right side
    76,891x = 27,693,952,225
  5. Step 5: Solve for x
    x = 27,693,952,225/76,891
  6. Step 6: Final answer
    x = 360,171.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.