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Finding the Third Proportional to 55,004 and 82,626

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Solution

The third proportional to 55,004 and 82,626 is: 124,119.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,004 : 82,626 = 82,626 : x
  2. Step 2: Convert to fraction form
    55,004/82,626 = 82,626/x
  3. Step 3: Cross multiply
    55,004x = 82,626 × 82,626
  4. Step 4: Simplify right side
    55,004x = 6,827,055,876
  5. Step 5: Solve for x
    x = 6,827,055,876/55,004
  6. Step 6: Final answer
    x = 124,119.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.