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Finding the Third Proportional to 50,125 and 108,314

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Solution

The third proportional to 50,125 and 108,314 is: 234,053.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,125 : 108,314 = 108,314 : x
  2. Step 2: Convert to fraction form
    50,125/108,314 = 108,314/x
  3. Step 3: Cross multiply
    50,125x = 108,314 × 108,314
  4. Step 4: Simplify right side
    50,125x = 11,731,922,596
  5. Step 5: Solve for x
    x = 11,731,922,596/50,125
  6. Step 6: Final answer
    x = 234,053.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.