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Finding the Third Proportional to 76,509 and 107,550.75

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Solution

The third proportional to 76,509 and 107,550.75 is: 151,186.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,509 : 107,550.75 = 107,550.75 : x
  2. Step 2: Convert to fraction form
    76,509/107,550.75 = 107,550.75/x
  3. Step 3: Cross multiply
    76,509x = 107,550.75 × 107,550.75
  4. Step 4: Simplify right side
    76,509x = 11,567,163,825.56
  5. Step 5: Solve for x
    x = 11,567,163,825.56/76,509
  6. Step 6: Final answer
    x = 151,186.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.