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Finding the Third Proportional to 50,644 and 111,482

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Solution

The third proportional to 50,644 and 111,482 is: 245,403.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,644 : 111,482 = 111,482 : x
  2. Step 2: Convert to fraction form
    50,644/111,482 = 111,482/x
  3. Step 3: Cross multiply
    50,644x = 111,482 × 111,482
  4. Step 4: Simplify right side
    50,644x = 12,428,236,324
  5. Step 5: Solve for x
    x = 12,428,236,324/50,644
  6. Step 6: Final answer
    x = 245,403.92

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