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Finding the Third Proportional to 90,626 and 138,325

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Solution

The third proportional to 90,626 and 138,325 is: 211,129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,626 : 138,325 = 138,325 : x
  2. Step 2: Convert to fraction form
    90,626/138,325 = 138,325/x
  3. Step 3: Cross multiply
    90,626x = 138,325 × 138,325
  4. Step 4: Simplify right side
    90,626x = 19,133,805,625
  5. Step 5: Solve for x
    x = 19,133,805,625/90,626
  6. Step 6: Final answer
    x = 211,129.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.