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Finding the Third Proportional to 75,932 and 120,920

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Solution

The third proportional to 75,932 and 120,920 is: 192,562.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,932 : 120,920 = 120,920 : x
  2. Step 2: Convert to fraction form
    75,932/120,920 = 120,920/x
  3. Step 3: Cross multiply
    75,932x = 120,920 × 120,920
  4. Step 4: Simplify right side
    75,932x = 14,621,646,400
  5. Step 5: Solve for x
    x = 14,621,646,400/75,932
  6. Step 6: Final answer
    x = 192,562.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.