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Finding the Third Proportional to 50,722.88 and 111,012.19

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Solution

The third proportional to 50,722.88 and 111,012.19 is: 242,961.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,722.88 : 111,012.19 = 111,012.19 : x
  2. Step 2: Convert to fraction form
    50,722.88/111,012.19 = 111,012.19/x
  3. Step 3: Cross multiply
    50,722.88x = 111,012.19 × 111,012.19
  4. Step 4: Simplify right side
    50,722.88x = 12,323,705,773.54
  5. Step 5: Solve for x
    x = 12,323,705,773.54/50,722.88
  6. Step 6: Final answer
    x = 242,961.50

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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.