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Finding the Third Proportional to 76,327.50 and 111,756.75

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Solution

The third proportional to 76,327.50 and 111,756.75 is: 163,631.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,327.50 : 111,756.75 = 111,756.75 : x
  2. Step 2: Convert to fraction form
    76,327.50/111,756.75 = 111,756.75/x
  3. Step 3: Cross multiply
    76,327.50x = 111,756.75 × 111,756.75
  4. Step 4: Simplify right side
    76,327.50x = 12,489,571,170.56
  5. Step 5: Solve for x
    x = 12,489,571,170.56/76,327.50
  6. Step 6: Final answer
    x = 163,631.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.