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Finding the Third Proportional to 53,761.50 and 106,198.50

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Solution

The third proportional to 53,761.50 and 106,198.50 is: 209,780.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,761.50 : 106,198.50 = 106,198.50 : x
  2. Step 2: Convert to fraction form
    53,761.50/106,198.50 = 106,198.50/x
  3. Step 3: Cross multiply
    53,761.50x = 106,198.50 × 106,198.50
  4. Step 4: Simplify right side
    53,761.50x = 11,278,121,402.25
  5. Step 5: Solve for x
    x = 11,278,121,402.25/53,761.50
  6. Step 6: Final answer
    x = 209,780.63

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.