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Finding the Third Proportional to 90,760 and 136,232

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Solution

The third proportional to 90,760 and 136,232 is: 204,486.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,760 : 136,232 = 136,232 : x
  2. Step 2: Convert to fraction form
    90,760/136,232 = 136,232/x
  3. Step 3: Cross multiply
    90,760x = 136,232 × 136,232
  4. Step 4: Simplify right side
    90,760x = 18,559,157,824
  5. Step 5: Solve for x
    x = 18,559,157,824/90,760
  6. Step 6: Final answer
    x = 204,486.09

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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.