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Finding the Third Proportional to 75,497.06 and 159,969.94

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Solution

The third proportional to 75,497.06 and 159,969.94 is: 338,958.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,497.06 : 159,969.94 = 159,969.94 : x
  2. Step 2: Convert to fraction form
    75,497.06/159,969.94 = 159,969.94/x
  3. Step 3: Cross multiply
    75,497.06x = 159,969.94 × 159,969.94
  4. Step 4: Simplify right side
    75,497.06x = 25,590,380,903.75
  5. Step 5: Solve for x
    x = 25,590,380,903.75/75,497.06
  6. Step 6: Final answer
    x = 338,958.63

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.