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Finding the Third Proportional to 50,226.75 and 109,201.50

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Solution

The third proportional to 50,226.75 and 109,201.50 is: 237,422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,226.75 : 109,201.50 = 109,201.50 : x
  2. Step 2: Convert to fraction form
    50,226.75/109,201.50 = 109,201.50/x
  3. Step 3: Cross multiply
    50,226.75x = 109,201.50 × 109,201.50
  4. Step 4: Simplify right side
    50,226.75x = 11,924,967,602.25
  5. Step 5: Solve for x
    x = 11,924,967,602.25/50,226.75
  6. Step 6: Final answer
    x = 237,422.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.