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Finding the Third Proportional to 103,969.50 and 167,438.25

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Solution

The third proportional to 103,969.50 and 167,438.25 is: 269,651.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,969.50 : 167,438.25 = 167,438.25 : x
  2. Step 2: Convert to fraction form
    103,969.50/167,438.25 = 167,438.25/x
  3. Step 3: Cross multiply
    103,969.50x = 167,438.25 × 167,438.25
  4. Step 4: Simplify right side
    103,969.50x = 28,035,567,563.06
  5. Step 5: Solve for x
    x = 28,035,567,563.06/103,969.50
  6. Step 6: Final answer
    x = 269,651.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.