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Finding the Third Proportional to 96,578 and 149,241

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Solution

The third proportional to 96,578 and 149,241 is: 230,620.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,578 : 149,241 = 149,241 : x
  2. Step 2: Convert to fraction form
    96,578/149,241 = 149,241/x
  3. Step 3: Cross multiply
    96,578x = 149,241 × 149,241
  4. Step 4: Simplify right side
    96,578x = 22,272,876,081
  5. Step 5: Solve for x
    x = 22,272,876,081/96,578
  6. Step 6: Final answer
    x = 230,620.60

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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.