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Finding the Third Proportional to 75,724.88 and 159,438.38

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Solution

The third proportional to 75,724.88 and 159,438.38 is: 335,696.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,724.88 : 159,438.38 = 159,438.38 : x
  2. Step 2: Convert to fraction form
    75,724.88/159,438.38 = 159,438.38/x
  3. Step 3: Cross multiply
    75,724.88x = 159,438.38 × 159,438.38
  4. Step 4: Simplify right side
    75,724.88x = 25,420,595,422.64
  5. Step 5: Solve for x
    x = 25,420,595,422.64/75,724.88
  6. Step 6: Final answer
    x = 335,696.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.