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Finding the Third Proportional to 52,809.75 and 108,078.75

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Solution

The third proportional to 52,809.75 and 108,078.75 is: 221,190.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,809.75 : 108,078.75 = 108,078.75 : x
  2. Step 2: Convert to fraction form
    52,809.75/108,078.75 = 108,078.75/x
  3. Step 3: Cross multiply
    52,809.75x = 108,078.75 × 108,078.75
  4. Step 4: Simplify right side
    52,809.75x = 11,681,016,201.56
  5. Step 5: Solve for x
    x = 11,681,016,201.56/52,809.75
  6. Step 6: Final answer
    x = 221,190.52

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.