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Finding the Third Proportional to 126,136 and 193,938

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Solution

The third proportional to 126,136 and 193,938 is: 298,185.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,136 : 193,938 = 193,938 : x
  2. Step 2: Convert to fraction form
    126,136/193,938 = 193,938/x
  3. Step 3: Cross multiply
    126,136x = 193,938 × 193,938
  4. Step 4: Simplify right side
    126,136x = 37,611,947,844
  5. Step 5: Solve for x
    x = 37,611,947,844/126,136
  6. Step 6: Final answer
    x = 298,185.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.