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Finding the Third Proportional to 95,176 and 133,910

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Solution

The third proportional to 95,176 and 133,910 is: 188,407.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,176 : 133,910 = 133,910 : x
  2. Step 2: Convert to fraction form
    95,176/133,910 = 133,910/x
  3. Step 3: Cross multiply
    95,176x = 133,910 × 133,910
  4. Step 4: Simplify right side
    95,176x = 17,931,888,100
  5. Step 5: Solve for x
    x = 17,931,888,100/95,176
  6. Step 6: Final answer
    x = 188,407.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.