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Finding the Third Proportional to 136,628 and 191,059

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Solution

The third proportional to 136,628 and 191,059 is: 267,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,628 : 191,059 = 191,059 : x
  2. Step 2: Convert to fraction form
    136,628/191,059 = 191,059/x
  3. Step 3: Cross multiply
    136,628x = 191,059 × 191,059
  4. Step 4: Simplify right side
    136,628x = 36,503,541,481
  5. Step 5: Solve for x
    x = 36,503,541,481/136,628
  6. Step 6: Final answer
    x = 267,174.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.