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Finding the Third Proportional to 50,822 and 111,486

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Solution

The third proportional to 50,822 and 111,486 is: 244,561.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,822 : 111,486 = 111,486 : x
  2. Step 2: Convert to fraction form
    50,822/111,486 = 111,486/x
  3. Step 3: Cross multiply
    50,822x = 111,486 × 111,486
  4. Step 4: Simplify right side
    50,822x = 12,429,128,196
  5. Step 5: Solve for x
    x = 12,429,128,196/50,822
  6. Step 6: Final answer
    x = 244,561.97

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