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Finding the Third Proportional to 96,979 and 149,012

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Solution

The third proportional to 96,979 and 149,012 is: 228,962.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,979 : 149,012 = 149,012 : x
  2. Step 2: Convert to fraction form
    96,979/149,012 = 149,012/x
  3. Step 3: Cross multiply
    96,979x = 149,012 × 149,012
  4. Step 4: Simplify right side
    96,979x = 22,204,576,144
  5. Step 5: Solve for x
    x = 22,204,576,144/96,979
  6. Step 6: Final answer
    x = 228,962.73

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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.