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Finding the Third Proportional to 76,665.75 and 116,382.75

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Solution

The third proportional to 76,665.75 and 116,382.75 is: 176,675.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,665.75 : 116,382.75 = 116,382.75 : x
  2. Step 2: Convert to fraction form
    76,665.75/116,382.75 = 116,382.75/x
  3. Step 3: Cross multiply
    76,665.75x = 116,382.75 × 116,382.75
  4. Step 4: Simplify right side
    76,665.75x = 13,544,944,497.56
  5. Step 5: Solve for x
    x = 13,544,944,497.56/76,665.75
  6. Step 6: Final answer
    x = 176,675.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.