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Finding the Third Proportional to 50,668.50 and 117,285.47

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Solution

The third proportional to 50,668.50 and 117,285.47 is: 271,487.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,668.50 : 117,285.47 = 117,285.47 : x
  2. Step 2: Convert to fraction form
    50,668.50/117,285.47 = 117,285.47/x
  3. Step 3: Cross multiply
    50,668.50x = 117,285.47 × 117,285.47
  4. Step 4: Simplify right side
    50,668.50x = 13,755,881,179.91
  5. Step 5: Solve for x
    x = 13,755,881,179.91/50,668.50
  6. Step 6: Final answer
    x = 271,487.83

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.