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Finding the Third Proportional to 109,125 and 234,936

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Solution

The third proportional to 109,125 and 234,936 is: 505,795.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,125 : 234,936 = 234,936 : x
  2. Step 2: Convert to fraction form
    109,125/234,936 = 234,936/x
  3. Step 3: Cross multiply
    109,125x = 234,936 × 234,936
  4. Step 4: Simplify right side
    109,125x = 55,194,924,096
  5. Step 5: Solve for x
    x = 55,194,924,096/109,125
  6. Step 6: Final answer
    x = 505,795.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.