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Finding the Third Proportional to 71,825.48 and 156,309.75

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Solution

The third proportional to 71,825.48 and 156,309.75 is: 340,168.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,825.48 : 156,309.75 = 156,309.75 : x
  2. Step 2: Convert to fraction form
    71,825.48/156,309.75 = 156,309.75/x
  3. Step 3: Cross multiply
    71,825.48x = 156,309.75 × 156,309.75
  4. Step 4: Simplify right side
    71,825.48x = 24,432,737,945.06
  5. Step 5: Solve for x
    x = 24,432,737,945.06/71,825.48
  6. Step 6: Final answer
    x = 340,168.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.