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Finding the Third Proportional to 109,704 and 234,936

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Solution

The third proportional to 109,704 and 234,936 is: 503,125.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,704 : 234,936 = 234,936 : x
  2. Step 2: Convert to fraction form
    109,704/234,936 = 234,936/x
  3. Step 3: Cross multiply
    109,704x = 234,936 × 234,936
  4. Step 4: Simplify right side
    109,704x = 55,194,924,096
  5. Step 5: Solve for x
    x = 55,194,924,096/109,704
  6. Step 6: Final answer
    x = 503,125.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.