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Finding the Third Proportional to 52,845.75 and 110,058.75

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Solution

The third proportional to 52,845.75 and 110,058.75 is: 229,212.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,845.75 : 110,058.75 = 110,058.75 : x
  2. Step 2: Convert to fraction form
    52,845.75/110,058.75 = 110,058.75/x
  3. Step 3: Cross multiply
    52,845.75x = 110,058.75 × 110,058.75
  4. Step 4: Simplify right side
    52,845.75x = 12,112,928,451.56
  5. Step 5: Solve for x
    x = 12,112,928,451.56/52,845.75
  6. Step 6: Final answer
    x = 229,212.92

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.