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Finding the Third Proportional to 50,312.75 and 104,759.50

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Solution

The third proportional to 50,312.75 and 104,759.50 is: 218,126.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,312.75 : 104,759.50 = 104,759.50 : x
  2. Step 2: Convert to fraction form
    50,312.75/104,759.50 = 104,759.50/x
  3. Step 3: Cross multiply
    50,312.75x = 104,759.50 × 104,759.50
  4. Step 4: Simplify right side
    50,312.75x = 10,974,552,840.25
  5. Step 5: Solve for x
    x = 10,974,552,840.25/50,312.75
  6. Step 6: Final answer
    x = 218,126.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.