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Finding the Third Proportional to 43,645.50 and 104,980.50

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Solution

The third proportional to 43,645.50 and 104,980.50 is: 252,509.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,645.50 : 104,980.50 = 104,980.50 : x
  2. Step 2: Convert to fraction form
    43,645.50/104,980.50 = 104,980.50/x
  3. Step 3: Cross multiply
    43,645.50x = 104,980.50 × 104,980.50
  4. Step 4: Simplify right side
    43,645.50x = 11,020,905,380.25
  5. Step 5: Solve for x
    x = 11,020,905,380.25/43,645.50
  6. Step 6: Final answer
    x = 252,509.55

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.