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Finding the Third Proportional to 57,962 and 120,928

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Solution

The third proportional to 57,962 and 120,928 is: 252,296.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,962 : 120,928 = 120,928 : x
  2. Step 2: Convert to fraction form
    57,962/120,928 = 120,928/x
  3. Step 3: Cross multiply
    57,962x = 120,928 × 120,928
  4. Step 4: Simplify right side
    57,962x = 14,623,581,184
  5. Step 5: Solve for x
    x = 14,623,581,184/57,962
  6. Step 6: Final answer
    x = 252,296.01

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.