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Finding the Third Proportional to 75,208.50 and 111,992.63

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Solution

The third proportional to 75,208.50 and 111,992.63 is: 166,767.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,208.50 : 111,992.63 = 111,992.63 : x
  2. Step 2: Convert to fraction form
    75,208.50/111,992.63 = 111,992.63/x
  3. Step 3: Cross multiply
    75,208.50x = 111,992.63 × 111,992.63
  4. Step 4: Simplify right side
    75,208.50x = 12,542,348,054.39
  5. Step 5: Solve for x
    x = 12,542,348,054.39/75,208.50
  6. Step 6: Final answer
    x = 166,767.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.