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Finding the Third Proportional to 71,958.75 and 107,946.75

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Solution

The third proportional to 71,958.75 and 107,946.75 is: 161,933.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,958.75 : 107,946.75 = 107,946.75 : x
  2. Step 2: Convert to fraction form
    71,958.75/107,946.75 = 107,946.75/x
  3. Step 3: Cross multiply
    71,958.75x = 107,946.75 × 107,946.75
  4. Step 4: Simplify right side
    71,958.75x = 11,652,500,835.56
  5. Step 5: Solve for x
    x = 11,652,500,835.56/71,958.75
  6. Step 6: Final answer
    x = 161,933.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.