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Finding the Third Proportional to 52,828 and 108,086.50

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Solution

The third proportional to 52,828 and 108,086.50 is: 221,145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,828 : 108,086.50 = 108,086.50 : x
  2. Step 2: Convert to fraction form
    52,828/108,086.50 = 108,086.50/x
  3. Step 3: Cross multiply
    52,828x = 108,086.50 × 108,086.50
  4. Step 4: Simplify right side
    52,828x = 11,682,691,482.25
  5. Step 5: Solve for x
    x = 11,682,691,482.25/52,828
  6. Step 6: Final answer
    x = 221,145.82

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