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Finding the Third Proportional to 50,653.75 and 110,226.50

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Solution

The third proportional to 50,653.75 and 110,226.50 is: 239,861.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,653.75 : 110,226.50 = 110,226.50 : x
  2. Step 2: Convert to fraction form
    50,653.75/110,226.50 = 110,226.50/x
  3. Step 3: Cross multiply
    50,653.75x = 110,226.50 × 110,226.50
  4. Step 4: Simplify right side
    50,653.75x = 12,149,881,302.25
  5. Step 5: Solve for x
    x = 12,149,881,302.25/50,653.75
  6. Step 6: Final answer
    x = 239,861.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.