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Finding the Third Proportional to 96,578 and 153,675

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Solution

The third proportional to 96,578 and 153,675 is: 244,527.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,578 : 153,675 = 153,675 : x
  2. Step 2: Convert to fraction form
    96,578/153,675 = 153,675/x
  3. Step 3: Cross multiply
    96,578x = 153,675 × 153,675
  4. Step 4: Simplify right side
    96,578x = 23,616,005,625
  5. Step 5: Solve for x
    x = 23,616,005,625/96,578
  6. Step 6: Final answer
    x = 244,527.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.