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Finding the Third Proportional to 75,733 and 159,454

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Solution

The third proportional to 75,733 and 159,454 is: 335,726.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,733 : 159,454 = 159,454 : x
  2. Step 2: Convert to fraction form
    75,733/159,454 = 159,454/x
  3. Step 3: Cross multiply
    75,733x = 159,454 × 159,454
  4. Step 4: Simplify right side
    75,733x = 25,425,578,116
  5. Step 5: Solve for x
    x = 25,425,578,116/75,733
  6. Step 6: Final answer
    x = 335,726.54

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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.