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Finding the Third Proportional to 55,883.25 and 108,965.25

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Solution

The third proportional to 55,883.25 and 108,965.25 is: 212,468.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,883.25 : 108,965.25 = 108,965.25 : x
  2. Step 2: Convert to fraction form
    55,883.25/108,965.25 = 108,965.25/x
  3. Step 3: Cross multiply
    55,883.25x = 108,965.25 × 108,965.25
  4. Step 4: Simplify right side
    55,883.25x = 11,873,425,707.56
  5. Step 5: Solve for x
    x = 11,873,425,707.56/55,883.25
  6. Step 6: Final answer
    x = 212,468.42

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.