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Finding the Third Proportional to 76,512.09 and 168,292.69

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Solution

The third proportional to 76,512.09 and 168,292.69 is: 370,169.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,512.09 : 168,292.69 = 168,292.69 : x
  2. Step 2: Convert to fraction form
    76,512.09/168,292.69 = 168,292.69/x
  3. Step 3: Cross multiply
    76,512.09x = 168,292.69 × 168,292.69
  4. Step 4: Simplify right side
    76,512.09x = 28,322,428,665.97
  5. Step 5: Solve for x
    x = 28,322,428,665.97/76,512.09
  6. Step 6: Final answer
    x = 370,169.31

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.