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Finding the Third Proportional to 75,874 and 159,740

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Solution

The third proportional to 75,874 and 159,740 is: 336,305.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,874 : 159,740 = 159,740 : x
  2. Step 2: Convert to fraction form
    75,874/159,740 = 159,740/x
  3. Step 3: Cross multiply
    75,874x = 159,740 × 159,740
  4. Step 4: Simplify right side
    75,874x = 25,516,867,600
  5. Step 5: Solve for x
    x = 25,516,867,600/75,874
  6. Step 6: Final answer
    x = 336,305.82

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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.