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Finding the Third Proportional to 67,999.50 and 145,847.25

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Solution

The third proportional to 67,999.50 and 145,847.25 is: 312,817.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,999.50 : 145,847.25 = 145,847.25 : x
  2. Step 2: Convert to fraction form
    67,999.50/145,847.25 = 145,847.25/x
  3. Step 3: Cross multiply
    67,999.50x = 145,847.25 × 145,847.25
  4. Step 4: Simplify right side
    67,999.50x = 21,271,420,332.56
  5. Step 5: Solve for x
    x = 21,271,420,332.56/67,999.50
  6. Step 6: Final answer
    x = 312,817.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.