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Finding the Third Proportional to 50,964 and 119,914

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Solution

The third proportional to 50,964 and 119,914 is: 282,147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,964 : 119,914 = 119,914 : x
  2. Step 2: Convert to fraction form
    50,964/119,914 = 119,914/x
  3. Step 3: Cross multiply
    50,964x = 119,914 × 119,914
  4. Step 4: Simplify right side
    50,964x = 14,379,367,396
  5. Step 5: Solve for x
    x = 14,379,367,396/50,964
  6. Step 6: Final answer
    x = 282,147.54

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.