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Finding the Third Proportional to 50,963 and 119,913

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Solution

The third proportional to 50,963 and 119,913 is: 282,148.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,963 : 119,913 = 119,913 : x
  2. Step 2: Convert to fraction form
    50,963/119,913 = 119,913/x
  3. Step 3: Cross multiply
    50,963x = 119,913 × 119,913
  4. Step 4: Simplify right side
    50,963x = 14,379,127,569
  5. Step 5: Solve for x
    x = 14,379,127,569/50,963
  6. Step 6: Final answer
    x = 282,148.37

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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.