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Finding the Third Proportional to 51,779 and 112,021

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Solution

The third proportional to 51,779 and 112,021 is: 242,351.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,779 : 112,021 = 112,021 : x
  2. Step 2: Convert to fraction form
    51,779/112,021 = 112,021/x
  3. Step 3: Cross multiply
    51,779x = 112,021 × 112,021
  4. Step 4: Simplify right side
    51,779x = 12,548,704,441
  5. Step 5: Solve for x
    x = 12,548,704,441/51,779
  6. Step 6: Final answer
    x = 242,351.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.