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Finding the Third Proportional to 52,697.25 and 93,696.75

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Solution

The third proportional to 52,697.25 and 93,696.75 is: 166,594.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,697.25 : 93,696.75 = 93,696.75 : x
  2. Step 2: Convert to fraction form
    52,697.25/93,696.75 = 93,696.75/x
  3. Step 3: Cross multiply
    52,697.25x = 93,696.75 × 93,696.75
  4. Step 4: Simplify right side
    52,697.25x = 8,779,080,960.56
  5. Step 5: Solve for x
    x = 8,779,080,960.56/52,697.25
  6. Step 6: Final answer
    x = 166,594.67

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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.