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Finding the Third Proportional to 50,409 and 110,645

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Solution

The third proportional to 50,409 and 110,645 is: 242,859.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,409 : 110,645 = 110,645 : x
  2. Step 2: Convert to fraction form
    50,409/110,645 = 110,645/x
  3. Step 3: Cross multiply
    50,409x = 110,645 × 110,645
  4. Step 4: Simplify right side
    50,409x = 12,242,316,025
  5. Step 5: Solve for x
    x = 12,242,316,025/50,409
  6. Step 6: Final answer
    x = 242,859.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.