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Finding the Third Proportional to 76,909.50 and 159,941.25

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Solution

The third proportional to 76,909.50 and 159,941.25 is: 332,614.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,909.50 : 159,941.25 = 159,941.25 : x
  2. Step 2: Convert to fraction form
    76,909.50/159,941.25 = 159,941.25/x
  3. Step 3: Cross multiply
    76,909.50x = 159,941.25 × 159,941.25
  4. Step 4: Simplify right side
    76,909.50x = 25,581,203,451.56
  5. Step 5: Solve for x
    x = 25,581,203,451.56/76,909.50
  6. Step 6: Final answer
    x = 332,614.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.