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Finding the Third Proportional to 52,694.50 and 93,693.50

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Solution

The third proportional to 52,694.50 and 93,693.50 is: 166,591.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,694.50 : 93,693.50 = 93,693.50 : x
  2. Step 2: Convert to fraction form
    52,694.50/93,693.50 = 93,693.50/x
  3. Step 3: Cross multiply
    52,694.50x = 93,693.50 × 93,693.50
  4. Step 4: Simplify right side
    52,694.50x = 8,778,471,942.25
  5. Step 5: Solve for x
    x = 8,778,471,942.25/52,694.50
  6. Step 6: Final answer
    x = 166,591.81

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.