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Finding the Third Proportional to 50,914.50 and 109,665

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Solution

The third proportional to 50,914.50 and 109,665 is: 236,208.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,914.50 : 109,665 = 109,665 : x
  2. Step 2: Convert to fraction form
    50,914.50/109,665 = 109,665/x
  3. Step 3: Cross multiply
    50,914.50x = 109,665 × 109,665
  4. Step 4: Simplify right side
    50,914.50x = 12,026,412,225
  5. Step 5: Solve for x
    x = 12,026,412,225/50,914.50
  6. Step 6: Final answer
    x = 236,208.00

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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.