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Finding the Third Proportional to 50,396 and 110,804

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Solution

The third proportional to 50,396 and 110,804 is: 243,621.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,396 : 110,804 = 110,804 : x
  2. Step 2: Convert to fraction form
    50,396/110,804 = 110,804/x
  3. Step 3: Cross multiply
    50,396x = 110,804 × 110,804
  4. Step 4: Simplify right side
    50,396x = 12,277,526,416
  5. Step 5: Solve for x
    x = 12,277,526,416/50,396
  6. Step 6: Final answer
    x = 243,621.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.