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Finding the Third Proportional to 126,154 and 192,925

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Solution

The third proportional to 126,154 and 192,925 is: 295,036.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,154 : 192,925 = 192,925 : x
  2. Step 2: Convert to fraction form
    126,154/192,925 = 192,925/x
  3. Step 3: Cross multiply
    126,154x = 192,925 × 192,925
  4. Step 4: Simplify right side
    126,154x = 37,220,055,625
  5. Step 5: Solve for x
    x = 37,220,055,625/126,154
  6. Step 6: Final answer
    x = 295,036.67

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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.