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Finding the Third Proportional to 52,947.56 and 103,234.78

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Solution

The third proportional to 52,947.56 and 103,234.78 is: 201,282.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,947.56 : 103,234.78 = 103,234.78 : x
  2. Step 2: Convert to fraction form
    52,947.56/103,234.78 = 103,234.78/x
  3. Step 3: Cross multiply
    52,947.56x = 103,234.78 × 103,234.78
  4. Step 4: Simplify right side
    52,947.56x = 10,657,420,059.74
  5. Step 5: Solve for x
    x = 10,657,420,059.74/52,947.56
  6. Step 6: Final answer
    x = 201,282.54

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