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Finding the Third Proportional to 48,169.69 and 76,924.69

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Solution

The third proportional to 48,169.69 and 76,924.69 is: 122,845.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,169.69 : 76,924.69 = 76,924.69 : x
  2. Step 2: Convert to fraction form
    48,169.69/76,924.69 = 76,924.69/x
  3. Step 3: Cross multiply
    48,169.69x = 76,924.69 × 76,924.69
  4. Step 4: Simplify right side
    48,169.69x = 5,917,407,546.97
  5. Step 5: Solve for x
    x = 5,917,407,546.97/48,169.69
  6. Step 6: Final answer
    x = 122,845.05

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.