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Finding the Third Proportional to 50,631 and 117,214.13

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Solution

The third proportional to 50,631 and 117,214.13 is: 271,358.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,631 : 117,214.13 = 117,214.13 : x
  2. Step 2: Convert to fraction form
    50,631/117,214.13 = 117,214.13/x
  3. Step 3: Cross multiply
    50,631x = 117,214.13 × 117,214.13
  4. Step 4: Simplify right side
    50,631x = 13,739,151,099.52
  5. Step 5: Solve for x
    x = 13,739,151,099.52/50,631
  6. Step 6: Final answer
    x = 271,358.48

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.