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Finding the Third Proportional to 95,376 and 150,990

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Solution

The third proportional to 95,376 and 150,990 is: 239,032.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,376 : 150,990 = 150,990 : x
  2. Step 2: Convert to fraction form
    95,376/150,990 = 150,990/x
  3. Step 3: Cross multiply
    95,376x = 150,990 × 150,990
  4. Step 4: Simplify right side
    95,376x = 22,797,980,100
  5. Step 5: Solve for x
    x = 22,797,980,100/95,376
  6. Step 6: Final answer
    x = 239,032.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.