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Finding the Third Proportional to 50,568 and 110,209

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Solution

The third proportional to 50,568 and 110,209 is: 240,191.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,568 : 110,209 = 110,209 : x
  2. Step 2: Convert to fraction form
    50,568/110,209 = 110,209/x
  3. Step 3: Cross multiply
    50,568x = 110,209 × 110,209
  4. Step 4: Simplify right side
    50,568x = 12,146,023,681
  5. Step 5: Solve for x
    x = 12,146,023,681/50,568
  6. Step 6: Final answer
    x = 240,191.89

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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.