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Finding the Third Proportional to 126,584 and 194,250

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Solution

The third proportional to 126,584 and 194,250 is: 298,087.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,584 : 194,250 = 194,250 : x
  2. Step 2: Convert to fraction form
    126,584/194,250 = 194,250/x
  3. Step 3: Cross multiply
    126,584x = 194,250 × 194,250
  4. Step 4: Simplify right side
    126,584x = 37,733,062,500
  5. Step 5: Solve for x
    x = 37,733,062,500/126,584
  6. Step 6: Final answer
    x = 298,087.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.