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Finding the Third Proportional to 50,682 and 117,453

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Solution

The third proportional to 50,682 and 117,453 is: 272,191.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,682 : 117,453 = 117,453 : x
  2. Step 2: Convert to fraction form
    50,682/117,453 = 117,453/x
  3. Step 3: Cross multiply
    50,682x = 117,453 × 117,453
  4. Step 4: Simplify right side
    50,682x = 13,795,207,209
  5. Step 5: Solve for x
    x = 13,795,207,209/50,682
  6. Step 6: Final answer
    x = 272,191.45

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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.