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Finding the Third Proportional to 76,422 and 166,020

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Solution

The third proportional to 76,422 and 166,020 is: 360,663.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,422 : 166,020 = 166,020 : x
  2. Step 2: Convert to fraction form
    76,422/166,020 = 166,020/x
  3. Step 3: Cross multiply
    76,422x = 166,020 × 166,020
  4. Step 4: Simplify right side
    76,422x = 27,562,640,400
  5. Step 5: Solve for x
    x = 27,562,640,400/76,422
  6. Step 6: Final answer
    x = 360,663.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.