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Finding the Third Proportional to 109,593 and 235,035

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Solution

The third proportional to 109,593 and 235,035 is: 504,060.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,593 : 235,035 = 235,035 : x
  2. Step 2: Convert to fraction form
    109,593/235,035 = 235,035/x
  3. Step 3: Cross multiply
    109,593x = 235,035 × 235,035
  4. Step 4: Simplify right side
    109,593x = 55,241,451,225
  5. Step 5: Solve for x
    x = 55,241,451,225/109,593
  6. Step 6: Final answer
    x = 504,060.03

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Why These Related Problems?

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