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Finding the Third Proportional to 95,884 and 150,420

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Solution

The third proportional to 95,884 and 150,420 is: 235,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,884 : 150,420 = 150,420 : x
  2. Step 2: Convert to fraction form
    95,884/150,420 = 150,420/x
  3. Step 3: Cross multiply
    95,884x = 150,420 × 150,420
  4. Step 4: Simplify right side
    95,884x = 22,626,176,400
  5. Step 5: Solve for x
    x = 22,626,176,400/95,884
  6. Step 6: Final answer
    x = 235,974.47

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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.