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Finding the Third Proportional to 96,424 and 149,281

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Solution

The third proportional to 96,424 and 149,281 is: 231,112.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,424 : 149,281 = 149,281 : x
  2. Step 2: Convert to fraction form
    96,424/149,281 = 149,281/x
  3. Step 3: Cross multiply
    96,424x = 149,281 × 149,281
  4. Step 4: Simplify right side
    96,424x = 22,284,816,961
  5. Step 5: Solve for x
    x = 22,284,816,961/96,424
  6. Step 6: Final answer
    x = 231,112.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.