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Finding the Third Proportional to 50,988 and 111,826

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Solution

The third proportional to 50,988 and 111,826 is: 245,254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,988 : 111,826 = 111,826 : x
  2. Step 2: Convert to fraction form
    50,988/111,826 = 111,826/x
  3. Step 3: Cross multiply
    50,988x = 111,826 × 111,826
  4. Step 4: Simplify right side
    50,988x = 12,505,054,276
  5. Step 5: Solve for x
    x = 12,505,054,276/50,988
  6. Step 6: Final answer
    x = 245,254.85

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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.