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Finding the Third Proportional to 96,821 and 149,555

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Solution

The third proportional to 96,821 and 149,555 is: 231,010.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,821 : 149,555 = 149,555 : x
  2. Step 2: Convert to fraction form
    96,821/149,555 = 149,555/x
  3. Step 3: Cross multiply
    96,821x = 149,555 × 149,555
  4. Step 4: Simplify right side
    96,821x = 22,366,698,025
  5. Step 5: Solve for x
    x = 22,366,698,025/96,821
  6. Step 6: Final answer
    x = 231,010.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.