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Finding the Third Proportional to 73,622 and 116,626

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Solution

The third proportional to 73,622 and 116,626 is: 184,749.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,622 : 116,626 = 116,626 : x
  2. Step 2: Convert to fraction form
    73,622/116,626 = 116,626/x
  3. Step 3: Cross multiply
    73,622x = 116,626 × 116,626
  4. Step 4: Simplify right side
    73,622x = 13,601,623,876
  5. Step 5: Solve for x
    x = 13,601,623,876/73,622
  6. Step 6: Final answer
    x = 184,749.45

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.