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Finding the Third Proportional to 95,880 and 150,080

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Solution

The third proportional to 95,880 and 150,080 is: 234,918.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,880 : 150,080 = 150,080 : x
  2. Step 2: Convert to fraction form
    95,880/150,080 = 150,080/x
  3. Step 3: Cross multiply
    95,880x = 150,080 × 150,080
  4. Step 4: Simplify right side
    95,880x = 22,524,006,400
  5. Step 5: Solve for x
    x = 22,524,006,400/95,880
  6. Step 6: Final answer
    x = 234,918.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.