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Finding the Third Proportional to 57,964 and 120,932

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Solution

The third proportional to 57,964 and 120,932 is: 252,303.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,964 : 120,932 = 120,932 : x
  2. Step 2: Convert to fraction form
    57,964/120,932 = 120,932/x
  3. Step 3: Cross multiply
    57,964x = 120,932 × 120,932
  4. Step 4: Simplify right side
    57,964x = 14,624,548,624
  5. Step 5: Solve for x
    x = 14,624,548,624/57,964
  6. Step 6: Final answer
    x = 252,303.99

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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.