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Finding the Third Proportional to 95,976 and 149,400

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Solution

The third proportional to 95,976 and 149,400 is: 232,561.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,976 : 149,400 = 149,400 : x
  2. Step 2: Convert to fraction form
    95,976/149,400 = 149,400/x
  3. Step 3: Cross multiply
    95,976x = 149,400 × 149,400
  4. Step 4: Simplify right side
    95,976x = 22,320,360,000
  5. Step 5: Solve for x
    x = 22,320,360,000/95,976
  6. Step 6: Final answer
    x = 232,561.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.