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Finding the Third Proportional to 63,942.75 and 93,102.75

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Solution

The third proportional to 63,942.75 and 93,102.75 is: 135,560.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,942.75 : 93,102.75 = 93,102.75 : x
  2. Step 2: Convert to fraction form
    63,942.75/93,102.75 = 93,102.75/x
  3. Step 3: Cross multiply
    63,942.75x = 93,102.75 × 93,102.75
  4. Step 4: Simplify right side
    63,942.75x = 8,668,122,057.56
  5. Step 5: Solve for x
    x = 8,668,122,057.56/63,942.75
  6. Step 6: Final answer
    x = 135,560.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.