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Finding the Third Proportional to 76,509.75 and 114,764.75

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Solution

The third proportional to 76,509.75 and 114,764.75 is: 172,147.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,509.75 : 114,764.75 = 114,764.75 : x
  2. Step 2: Convert to fraction form
    76,509.75/114,764.75 = 114,764.75/x
  3. Step 3: Cross multiply
    76,509.75x = 114,764.75 × 114,764.75
  4. Step 4: Simplify right side
    76,509.75x = 13,170,947,842.56
  5. Step 5: Solve for x
    x = 13,170,947,842.56/76,509.75
  6. Step 6: Final answer
    x = 172,147.31

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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.