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Finding the Third Proportional to 94,409 and 151,941

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Solution

The third proportional to 94,409 and 151,941 is: 244,532.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,409 : 151,941 = 151,941 : x
  2. Step 2: Convert to fraction form
    94,409/151,941 = 151,941/x
  3. Step 3: Cross multiply
    94,409x = 151,941 × 151,941
  4. Step 4: Simplify right side
    94,409x = 23,086,067,481
  5. Step 5: Solve for x
    x = 23,086,067,481/94,409
  6. Step 6: Final answer
    x = 244,532.49

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.