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Finding the Third Proportional to 50,448.50 and 108,142

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Solution

The third proportional to 50,448.50 and 108,142 is: 231,814.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,448.50 : 108,142 = 108,142 : x
  2. Step 2: Convert to fraction form
    50,448.50/108,142 = 108,142/x
  3. Step 3: Cross multiply
    50,448.50x = 108,142 × 108,142
  4. Step 4: Simplify right side
    50,448.50x = 11,694,692,164
  5. Step 5: Solve for x
    x = 11,694,692,164/50,448.50
  6. Step 6: Final answer
    x = 231,814.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.