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Finding the Third Proportional to 75,378 and 156,958

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Solution

The third proportional to 75,378 and 156,958 is: 326,830.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,378 : 156,958 = 156,958 : x
  2. Step 2: Convert to fraction form
    75,378/156,958 = 156,958/x
  3. Step 3: Cross multiply
    75,378x = 156,958 × 156,958
  4. Step 4: Simplify right side
    75,378x = 24,635,813,764
  5. Step 5: Solve for x
    x = 24,635,813,764/75,378
  6. Step 6: Final answer
    x = 326,830.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.