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Finding the Third Proportional to 70,445.75 and 166,125.75

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Solution

The third proportional to 70,445.75 and 166,125.75 is: 391,759.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,445.75 : 166,125.75 = 166,125.75 : x
  2. Step 2: Convert to fraction form
    70,445.75/166,125.75 = 166,125.75/x
  3. Step 3: Cross multiply
    70,445.75x = 166,125.75 × 166,125.75
  4. Step 4: Simplify right side
    70,445.75x = 27,597,764,813.06
  5. Step 5: Solve for x
    x = 27,597,764,813.06/70,445.75
  6. Step 6: Final answer
    x = 391,759.12

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.