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Finding the Third Proportional to 90,321 and 136,149

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Solution

The third proportional to 90,321 and 136,149 is: 205,229.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,321 : 136,149 = 136,149 : x
  2. Step 2: Convert to fraction form
    90,321/136,149 = 136,149/x
  3. Step 3: Cross multiply
    90,321x = 136,149 × 136,149
  4. Step 4: Simplify right side
    90,321x = 18,536,550,201
  5. Step 5: Solve for x
    x = 18,536,550,201/90,321
  6. Step 6: Final answer
    x = 205,229.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.