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Finding the Third Proportional to 75,864 and 168,576

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Solution

The third proportional to 75,864 and 168,576 is: 374,589.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,864 : 168,576 = 168,576 : x
  2. Step 2: Convert to fraction form
    75,864/168,576 = 168,576/x
  3. Step 3: Cross multiply
    75,864x = 168,576 × 168,576
  4. Step 4: Simplify right side
    75,864x = 28,417,867,776
  5. Step 5: Solve for x
    x = 28,417,867,776/75,864
  6. Step 6: Final answer
    x = 374,589.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.