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Finding the Third Proportional to 77,628 and 167,149

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Solution

The third proportional to 77,628 and 167,149 is: 359,906.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,628 : 167,149 = 167,149 : x
  2. Step 2: Convert to fraction form
    77,628/167,149 = 167,149/x
  3. Step 3: Cross multiply
    77,628x = 167,149 × 167,149
  4. Step 4: Simplify right side
    77,628x = 27,938,788,201
  5. Step 5: Solve for x
    x = 27,938,788,201/77,628
  6. Step 6: Final answer
    x = 359,906.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.